LCM for 11 and 31

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What's the Least Common Multiple (LCM) of 11 and 31?

Answer

LCM of 11 and 31 is
341

First common multiples: 341; 682; 1,023; …

341 is divisible by both: 341 ÷ 11 = 31, 341 ÷ 31 = 11 — and 31 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 31 and of y/31 by 11.

11 and 31 are coprime (GCF = 1), so their LCM is simply the product: 11 × 31 = 341.

11 — prime

31 — prime

Prime1131Highest power
1111—11
31—3131

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

LCM = 11 × 31 = 341

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 31?

LCM of 11 and 31 is 341

How to find the LCM of 11 and 31 using prime factorization?

To find the LCM of 11 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 341.

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 31: LCM = 341, GCF = 1.