What is the LCM of 18 and 108?

What's the Least Common Multiple (LCM) of 18 and 108?

Answer

LCM of 18 and 108 is

108

First common multiples: 108, 216, 324, …

As a common denominator: multiply the top and bottom of x/18 by 6.

18 divides 108 (108 ÷ 18 = 6), so the LCM is the larger number itself.

18 = 2 × 3²

108 = 2² × 3³

Prime	18	108	Highest power
2	2	2²	2²
3	3²	3³	3³

LCM = 2² × 3³ = 108

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