What is the LCM of 18 and 72?

What's the Least Common Multiple (LCM) of 18 and 72?

Answer

LCM of 18 and 72 is

72

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of x/18 by 4.

18 divides 72 (72 ÷ 18 = 4), so the LCM is the larger number itself.

18 = 2 × 3²

72 = 2³ × 3²

Prime	18	72	Highest power
2	2	2³	2³
3	3²	3²	3²

LCM = 2³ × 3² = 72

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