What is the LCM of 45 and 405?

What's the Least Common Multiple (LCM) of 45 and 405?

Answer

LCM of 45 and 405 is

405

First common multiples: 405; 810; 1,215; …

As a common denominator: multiply the top and bottom of x/45 by 9.

45 divides 405 (405 ÷ 45 = 9), so the LCM is the larger number itself.

45 = 3² × 5

405 = 3⁴ × 5

Prime	45	405	Highest power
3	3²	3⁴	3⁴
5	5	5	5

LCM = 3⁴ × 5 = 405

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