The least common multiple of 18 and 24 is ____.

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Detailed Solution

Concept: 18 and 24 would have a LCM of 72. We have to find out the smallest common multiple of two numbers. We will prime factorize the given numbers and then, multiply every factor of each number without any duplicates to obtain our desired answer.
Prime Factorisation of 18 gives

.
Similarly, Prime Factorisation of 24 gives

.
A pair of 2s and 3s are common to both 18 and 24. Hence, the LCM of 18 and 24 will be the product of a 2 and a 3 from these pairs and the remaining, unpaired two 2s and a 3, i.e. ,

Hence, the Correct Answer is 72.

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