{"id":626270,"date":"2023-06-22T11:50:01","date_gmt":"2023-06-22T06:20:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=626270"},"modified":"2024-03-06T14:42:34","modified_gmt":"2024-03-06T09:12:34","slug":"least-common-multiple","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/","title":{"rendered":"Least Common Multiple"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#Introduction\" title=\"Introduction\">Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_Least_Common_Multiple\" title=\"What is Least Common Multiple?\">What is Least Common Multiple?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#LCM_Formula\" title=\"LCM Formula\">LCM Formula<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#Conclusion\" title=\"Conclusion\">Conclusion<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#Solved_Examples_on_LCM\" title=\"Solved Examples on LCM\">Solved Examples on LCM<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#Frequently_Asked_Questions_on_LCM\" title=\"Frequently Asked Questions on LCM\">Frequently Asked Questions on LCM<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#How_to_calculate_the_LCM\" title=\"How to calculate the LCM?\">How to calculate the LCM?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_the_formula_of_HCF_and_LCM\" title=\"What is the formula of HCF and LCM?\">What is the formula of HCF and LCM?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_LCM_formula\" title=\"What is LCM formula?\">What is LCM formula?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_LCM_full_form\" title=\"What is LCM full form?\">What is LCM full form?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#Is_LCM_a_multiple_of_HCF\" title=\"Is LCM a multiple of HCF? \">Is LCM a multiple of HCF? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_the_LCM_of_24_and_36\" title=\"What is the LCM of 24 and 36?\">What is the LCM of 24 and 36?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_are_the_properties_of_LCM\" title=\"What are the properties of LCM? \">What are the properties of LCM? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/#What_is_the_full_form_of_HCF\" title=\"What is the full form of HCF? \">What is the full form of HCF? <\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction\"><\/span>Introduction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When multiple numbers have common multiples, the smallest common multiple among them is known as the least common multiple (LCM). The LCM formula helps in determining this smallest multiple for given numbers. In simpler terms, the LCM of two integers, denoted by a and b, is the smallest positive integer that is divisible by both a and b.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Least_Common_Multiple\"><\/span>What is Least Common Multiple?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>LCM, or the Least Common Multiple, is the smallest positive integer that is divisible by two or more numbers.<\/p>\n<p>For Example, Consider two numbers, 4 and 6.<\/p>\n<p>To find the LCM of 4 and 6, we list the multiples of each number: 4, 8, 12, 16, 20, 24&#8230; and 6, 12, 18, 24&#8230; The common multiples are 12 and 24, but the smallest common multiple is 12. Therefore, the LCM of 4 and 6 is 12.<\/p>\n<p>In this example, 12 is the smallest positive integer that is divisible by both 4 and 6, making it their least common multiple.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"LCM_Formula\"><\/span>LCM Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The LCM formula can be expressed as,<\/p>\n<p>LCM Formula:<\/p>\n<p>LCM = (a \u00d7 b)\/HCF(a,b)<\/p>\n<p>Where LCM(a, b) represents the least common multiple of numbers a and b, and HCF(a, b) represents the highest common multiple of a and b.<\/p>\n<p>By using the LCM formula, we can efficiently calculate the LCM of two numbers by first finding their HCF and then applying it in the formula.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Conclusion<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The LCM formula is helpful in various scenarios, such as finding a common denominator for fractions, solving equations involving multiple variables, simplifying expressions, and working with fractions and ratios.<\/p>\n<p>Understanding and applying the LCM formula allows us to find the smallest common multiple of numbers, which is essential in many mathematical and real-life situations where multiples or divisibility are involved.<\/p>\n<p><strong>Also Check<\/strong><\/p>\n<div><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/math-formulas\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/math-articles\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Articles<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/50000-in-words\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">50000 in Words<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/co-prime-numbers\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Co-prime Numbers<\/button><\/a><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Solved_Examples_on_LCM\"><\/span>Solved Examples on LCM<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Example 1: The product of two numbers is 240 and their highest common factor (HCF) is 12. Find their least common multiple (LCM).<\/strong><\/p>\n<p><strong>Solution:<\/strong> Let&#8217;s assume the two numbers are a and b.<\/p>\n<p>Given: a \u00d7 b = 240<\/p>\n<p>HCF(a, b) = 12<\/p>\n<p>To find the LCM using the formula LCM(a, b) = (|a \u00d7 b|) \/ HCF(a, b), we need to find the HCF (Highest Common Factor) first.<\/p>\n<p>Since HCF(a, b) = 12, we know that 12 is a factor of both a and b.<\/p>\n<p>Let&#8217;s write the prime factorization of 12: 12 = 2<sup>\u00b2<\/sup> \u00d7 3<\/p>\n<p>To find the remaining prime factorization, we divide 240 by 12:<\/p>\n<p>240 \/ 12 = 20<\/p>\n<p>Now, let&#8217;s write the prime factorization of 20: 20 = 2<sup>\u00b2<\/sup> \u00d7 5<sup>\u00b9<\/sup><\/p>\n<p>Combining the prime factorizations of 12 and 20, we get:<\/p>\n<p>240 = 2\u00b2 \u00d7 3\u00b9 \u00d7 5\u00b9<\/p>\n<p>Therefore, the LCM of the two numbers is given by:<\/p>\n<p>LCM(a, b) = (|a \u00d7 b|) \/ HCF(a, b) = (|240|) \/ (2\u00b2 \u00d7 3\u00b9 \u00d7 5\u00b9) = 240 \/ 12 = 20<\/p>\n<p>Therefore, the LCM of the two numbers is 20.<\/p>\n<p><strong>Example 2: The product of two numbers is 72 and their least common multiple (LCM) is 24. Find their highest common factor (HCF).<\/strong><\/p>\n<p><strong>Solution:<\/strong> Let&#8217;s assume the two numbers are a and b.<\/p>\n<p>Given: a \u00d7 b = 72<\/p>\n<p>LCM(a, b) = 24<\/p>\n<p>To find the HCF using the formula HCF(a, b) = (|a \u00d7 b|) \/ LCM(a, b), we need to find the LCM (Least Common Multiple) first.<\/p>\n<p>Since LCM(a, b) = 24, we know that 24 is a multiple of both a and b.<\/p>\n<p>Let&#8217;s write the prime factorization of 24: 24 = 2\u00b3 \u00d7 3\u00b9<\/p>\n<p>To find the remaining prime factorization, we divide 72 by 24:<\/p>\n<p>72 \/ 24 = 3<\/p>\n<p>Now, let&#8217;s write the prime factorization of 3: 3 = 3\u00b9<\/p>\n<p>Combining the prime factorizations of 24 and 3, we get:<\/p>\n<p>72 = 2\u00b3 \u00d7 3\u00b9<\/p>\n<p>Therefore, the HCF of the two numbers is given by:<\/p>\n<p>HCF(a, b) = (|a \u00d7 b|) \/ LCM(a, b) = (|72|) \/ (2\u00b3 \u00d7 3\u00b9) = 72 \/ 24 = 3<\/p>\n<p>Therefore, the HCF of the two numbers is 3.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_LCM\"><\/span>Frequently Asked Questions on LCM<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_calculate_the_LCM\"><\/span>How to calculate the LCM?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo calculate the LCM (Least Common Multiple) of two or more numbers, you can use different methods. One common approach is to list the multiples of each number and find the smallest common multiple. Another method is prime factorization, where you express each number as a product of prime factors and then determine the LCM by taking the highest power of each prime factor. Additionally, you can also use the LCM formula, LCM(a, b) = |(a \u00d7 b)| \/ HCF(a, b), where HCF represents the Highest Common Factor. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_of_HCF_and_LCM\"><\/span>What is the formula of HCF and LCM?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula for the HCF (Highest Common Factor) of two numbers is obtained by dividing their product by their LCM (Least Common Multiple). Mathematically, it can be expressed as HCF(a, b) = (a \u00d7 b) \/ LCM(a, b). This formula helps find the HCF when the LCM is known. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_LCM_formula\"><\/span>What is LCM formula?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe LCM formula is LCM(a, b) = |(a \u00d7 b)| \/ HCF(a, b). It calculates the least common multiple of two numbers using their product and highest common factor. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_LCM_full_form\"><\/span>What is LCM full form?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tLCM stands for Least Common Multiple, which refers to the smallest positive integer that is divisible by both given numbers. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_LCM_a_multiple_of_HCF\"><\/span>Is LCM a multiple of HCF? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, LCM is not necessarily a multiple of HCF. The relationship between LCM and HCF depends on the numbers being considered. In some cases, the LCM and HCF can have a common factor, while in other cases they may be completely independent. It is important to calculate both the LCM and HCF separately to understand their specific properties and relationships in a given scenario.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_LCM_of_24_and_36\"><\/span>What is the LCM of 24 and 36?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo find the LCM (Least Common Multiple) of 24 and 36, we can use the prime factorization method or the LCM formula. Prime factors of 24: 2\u00b3 \u00d7 3\u00b9 Prime factors of 36: 2\u00b2 \u00d7 3 To calculate the LCM, we take the highest powers of all the prime factors: LCM = 2\u00b3 \u00d7 3\u00b2 = 8 \u00d7 9 = 72 Therefore, the LCM of 24 and 36 is 72. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_properties_of_LCM\"><\/span>What are the properties of LCM? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe LCM of co-prime numbers is always equal to the product of the numbers. Additionally, the LCM of any given numbers is always greater than or equal to any of the given numbers. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_full_form_of_HCF\"><\/span>What is the full form of HCF? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe full form of HCF is Highest Common Factor, also known as Greatest Common Divisor (GCD). \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to calculate the LCM?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To calculate the LCM (Least Common Multiple) of two or more numbers, you can use different methods. One common approach is to list the multiples of each number and find the smallest common multiple. Another method is prime factorization, where you express each number as a product of prime factors and then determine the LCM by taking the highest power of each prime factor. Additionally, you can also use the LCM formula, LCM(a, b) = |(a \u00d7 b)| \/ HCF(a, b), where HCF represents the Highest Common Factor.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the formula of HCF and LCM?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula for the HCF (Highest Common Factor) of two numbers is obtained by dividing their product by their LCM (Least Common Multiple). Mathematically, it can be expressed as HCF(a, b) = (a \u00d7 b) \/ LCM(a, b). This formula helps find the HCF when the LCM is known.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is LCM formula?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The LCM formula is LCM(a, b) = |(a \u00d7 b)| \/ HCF(a, b). It calculates the least common multiple of two numbers using their product and highest common factor.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is LCM full form?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"LCM stands for Least Common Multiple, which refers to the smallest positive integer that is divisible by both given numbers.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is LCM a multiple of HCF? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, LCM is not necessarily a multiple of HCF. The relationship between LCM and HCF depends on the numbers being considered. In some cases, the LCM and HCF can have a common factor, while in other cases they may be completely independent. It is important to calculate both the LCM and HCF separately to understand their specific properties and relationships in a given scenario.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the LCM of 24 and 36?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the LCM (Least Common Multiple) of 24 and 36, we can use the prime factorization method or the LCM formula. Prime factors of 24: 2\u00b3 \u00d7 3\u00b9 Prime factors of 36: 2\u00b2 \u00d7 3 To calculate the LCM, we take the highest powers of all the prime factors: LCM = 2\u00b3 \u00d7 3\u00b2 = 8 \u00d7 9 = 72 Therefore, the LCM of 24 and 36 is 72.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the properties of LCM? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The LCM of co-prime numbers is always equal to the product of the numbers. Additionally, the LCM of any given numbers is always greater than or equal to any of the given numbers.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the full form of HCF? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The full form of HCF is Highest Common Factor, also known as Greatest Common Divisor (GCD).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Introduction When multiple numbers have common multiples, the smallest common multiple among them is known as the least common multiple [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Least Common Multiple","_yoast_wpseo_title":"Least Common Multiple (LCM) - Definition, Formula and Solved Examples","_yoast_wpseo_metadesc":"LCM, or the Least Common Multiple, is the smallest positive integer that is divisible by two or more numbers.","custom_permalink":"articles\/least-common-multiple\/"},"categories":[8442,8443],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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