What is the LCM of 28 and 56?

What's the Least Common Multiple (LCM) of 28 and 56?

Answer

LCM of 28 and 56 is

56

First common multiples: 56, 112, 168, …

As a common denominator: multiply the top and bottom of x/28 by 2.

28 divides 56 (56 ÷ 28 = 2), so the LCM is the larger number itself.

28 = 2² × 7

56 = 2³ × 7

Prime	28	56	Highest power
2	2²	2³	2³
7	7	7	7

LCM = 2³ × 7 = 56

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