What is the LCM of 30 and 180?

What's the Least Common Multiple (LCM) of 30 and 180?

Answer

LCM of 30 and 180 is

180

First common multiples: 180, 360, 540, …

As a common denominator: multiply the top and bottom of x/30 by 6.

30 divides 180 (180 ÷ 30 = 6), so the LCM is the larger number itself.

30 = 2 × 3 × 5

180 = 2² × 3² × 5

Prime	30	180	Highest power
2	2	2²	2²
3	3	3²	3²
5	5	5	5

LCM = 2² × 3² × 5 = 180

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