What is the LCM of 30 and 120?

What's the Least Common Multiple (LCM) of 30 and 120?

Answer

LCM of 30 and 120 is

120

First common multiples: 120, 240, 360, …

As a common denominator: multiply the top and bottom of x/30 by 4.

30 divides 120 (120 ÷ 30 = 4), so the LCM is the larger number itself.

30 = 2 × 3 × 5

120 = 2³ × 3 × 5

Prime	30	120	Highest power
2	2	2³	2³
3	3	3	3
5	5	5	5

LCM = 2³ × 3 × 5 = 120

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