What is the LCM of 15 and 75?

What's the Least Common Multiple (LCM) of 15 and 75?

Answer

LCM of 15 and 75 is

75

First common multiples: 75, 150, 225, …

As a common denominator: multiply the top and bottom of x/15 by 5.

15 divides 75 (75 ÷ 15 = 5), so the LCM is the larger number itself.

15 = 3 × 5

75 = 3 × 5²

Prime	15	75	Highest power
3	3	3	3
5	5	5²	5²

LCM = 3 × 5² = 75

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