What is the LCM of 45 and 90?

What's the Least Common Multiple (LCM) of 45 and 90?

Answer

LCM of 45 and 90 is

90

First common multiples: 90, 180, 270, …

As a common denominator: multiply the top and bottom of x/45 by 2.

45 divides 90 (90 ÷ 45 = 2), so the LCM is the larger number itself.

45 = 3² × 5

90 = 2 × 3² × 5

Prime	45	90	Highest power
2	—	2	2
3	3²	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 = 2 × 3² × 5 = 90

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