What is the LCM of 12 and 108?

What's the Least Common Multiple (LCM) of 12 and 108?

Answer

LCM of 12 and 108 is

108

First common multiples: 108, 216, 324, …

As a common denominator: multiply the top and bottom of x/12 by 9.

12 divides 108 (108 ÷ 12 = 9), so the LCM is the larger number itself.

12 = 2² × 3

108 = 2² × 3³

Prime	12	108	Highest power
2	2²	2²	2²
3	3	3³	3³

LCM = 2² × 3³ = 108

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