LCM for 11 and 37

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What's the Least Common Multiple (LCM) of 11 and 37?

Answer

LCM of 11 and 37 is
407

First common multiples: 407; 814; 1,221; …

407 is divisible by both: 407 ÷ 11 = 37, 407 ÷ 37 = 11 — and 37 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 37 and of y/37 by 11.

11 and 37 are coprime (GCF = 1), so their LCM is simply the product: 11 × 37 = 407.

11 — prime

37 — prime

Prime1137Highest power
1111—11
37—3737

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

LCM = 11 × 37 = 407

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 37?

LCM of 11 and 37 is 407

How to find the LCM of 11 and 37 using prime factorization?

To find the LCM of 11 and 37, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 407.

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 37: LCM = 407, GCF = 1.