What is the LCM of 18 and 54?

What's the Least Common Multiple (LCM) of 18 and 54?

Answer

LCM of 18 and 54 is

54

First common multiples: 54, 108, 162, …

As a common denominator: multiply the top and bottom of x/18 by 3.

18 divides 54 (54 ÷ 18 = 3), so the LCM is the larger number itself.

18 = 2 × 3²

54 = 2 × 3³

Prime	18	54	Highest power
2	2	2	2
3	3²	3³	3³

LCM = 2 × 3³ = 54

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