LCM & HCF - Definition | Formula

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LCM – Definition

LCM (Least Common Multiple) is the smallest number that is a multiple of two or more given numbers.

For example, the LCM of 12 and 18 is 36.

The Highest Common Factor (HCF) of two or more numbers is the largest number that divides evenly into each of the numbers.

For example, the HCF of 15 and 30 is 15. 15 divides evenly into 15 and 30, so it is the largest number that does so.

LCM of two numbers is the least common multiple of the two numbers.

LCM of two numbers, a and b, is the smallest number that is divisible by both a and b.

LCM = (a × b) ÷ (a ÷ b)

Find the LCM of 9, 15, and 21.

The LCM of 9, 15, and 21 is 63.

Example 1

Find the LCM of 6 and 15.

The LCM of 6 and 15 is 30.