LCM for 11 and 17

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What's the Least Common Multiple (LCM) of 11 and 17?

Answer

LCM of 11 and 17 is
187

First common multiples: 187, 374, 561, …

187 is divisible by both: 187 ÷ 11 = 17, 187 ÷ 17 = 11 — and 17 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 17 and of y/17 by 11.

11 and 17 are coprime (GCF = 1), so their LCM is simply the product: 11 × 17 = 187.

11 — prime

17 — prime

Prime1117Highest power
1111—11
17—1717

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

LCM = 11 × 17 = 187

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 17?

LCM of 11 and 17 is 187

How to find the LCM of 11 and 17 using prime factorization?

To find the LCM of 11 and 17, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 187.

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 17: LCM = 187, GCF = 1.