LCM for 11 and 15

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What's the Least Common Multiple (LCM) of 11 and 15?

Answer

LCM of 11 and 15 is
165

First common multiples: 165, 330, 495, …

165 is divisible by both: 165 ÷ 11 = 15, 165 ÷ 15 = 11 — and 15 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 15 and of y/15 by 11.

11 and 15 are coprime (GCF = 1), so their LCM is simply the product: 11 × 15 = 165.

11 — prime

15 = 3 × 5

Prime1115Highest power
3—33
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 = 3 × 5 × 11 = 165

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 15?

LCM of 11 and 15 is 165

How to find the LCM of 11 and 15 using prime factorization?

To find the LCM of 11 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 165.

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 15: LCM = 165, GCF = 1.