What is the LCM of 42 and 84?

What's the Least Common Multiple (LCM) of 42 and 84?

Answer

LCM of 42 and 84 is

84

First common multiples: 84, 168, 252, …

As a common denominator: multiply the top and bottom of x/42 by 2.

42 divides 84 (84 ÷ 42 = 2), so the LCM is the larger number itself.

42 = 2 × 3 × 7

84 = 2² × 3 × 7

Prime	42	84	Highest power
2	2	2²	2²
3	3	3	3
7	7	7	7

LCM = 2² × 3 × 7 = 84

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