What is the LCM of 36 and 144?

What's the Least Common Multiple (LCM) of 36 and 144?

Answer

LCM of 36 and 144 is

144

First common multiples: 144, 288, 432, …

As a common denominator: multiply the top and bottom of x/36 by 4.

36 divides 144 (144 ÷ 36 = 4), so the LCM is the larger number itself.

36 = 2² × 3²

144 = 2⁴ × 3²

Prime	36	144	Highest power
2	2²	2⁴	2⁴
3	3²	3²	3²

LCM = 2⁴ × 3² = 144

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