What is the LCM of 6 and 18?

What's the Least Common Multiple (LCM) of 6 and 18?

Answer

LCM of 6 and 18 is

18

First common multiples: 18, 36, 54, …

As a common denominator: multiply the top and bottom of x/6 by 3.

6 divides 18 (18 ÷ 6 = 3), so the LCM is the larger number itself.

6 = 2 × 3

18 = 2 × 3²

Prime	6	18	Highest power
2	2	2	2
3	3	3²	3²

LCM = 2 × 3² = 18

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