Lowest Common Multiple (LCM)

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Lowest Common Multiple 

(LCM)

Carefully consider the following numbers that are divisible by 8 and by 12.

Numbers divisible by 8 (i. e. multiples of 8) :

8, 16, 24, 32, 40, 48, 56, 64, 72, …

Numbers divisible by 12 (i. e. multiples of 12) :

12, 24, 36, 48, 60, 72, 84, ….

Here the numbers 24, 48, 72, .. are the common multiples of 8 and 12. 24 is the smallest or the lowest of them all. 

Thus, 24 is the smallest or the lowest common multiple or LCM of  8 and 12.

·       Note that the LCM of relative prime numbers is the product of those numbers. 

Examples:

  Find the LCM :

 65, 39