What is the LCM of 10 and 360?

What's the Least Common Multiple (LCM) of 10 and 360?

Answer

LCM of 10 and 360 is

360

First common multiples: 360; 720; 1,080; …

As a common denominator: multiply the top and bottom of x/10 by 36.

10 divides 360 (360 ÷ 10 = 36), so the LCM is the larger number itself.

10 = 2 × 5

360 = 2³ × 3² × 5

Prime	10	360	Highest power
2	2	2³	2³
3	—	3²	3²
5	5	5	5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2³ × 3² × 5 = 360

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