What is the LCM of 45 and 135?

What's the Least Common Multiple (LCM) of 45 and 135?

Answer

LCM of 45 and 135 is

135

First common multiples: 135, 270, 405, …

As a common denominator: multiply the top and bottom of x/45 by 3.

45 divides 135 (135 ÷ 45 = 3), so the LCM is the larger number itself.

45 = 3² × 5

135 = 3³ × 5

Prime	45	135	Highest power
3	3²	3³	3³
5	5	5	5

LCM = 3³ × 5 = 135

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