LCM for 11 and 45

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What's the Least Common Multiple (LCM) of 11 and 45?

Answer

LCM of 11 and 45 is
495

First common multiples: 495; 990; 1,485; …

495 is divisible by both: 495 ÷ 11 = 45, 495 ÷ 45 = 11 — and 45 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 45 and of y/45 by 11.

11 and 45 are coprime (GCF = 1), so their LCM is simply the product: 11 × 45 = 495.

11 — prime

45 = 32 × 5

Prime1145Highest power
3—3232
5—55
1111—11

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

LCM = 32 × 5 × 11 = 495

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 45?

LCM of 11 and 45 is 495

How to find the LCM of 11 and 45 using prime factorization?

To find the LCM of 11 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 495.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 11 and 45: LCM = 495, GCF = 1.