LCM for 11 and 51

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What's the Least Common Multiple (LCM) of 11 and 51?

Answer

LCM of 11 and 51 is
561

First common multiples: 561; 1,122; 1,683; …

561 is divisible by both: 561 ÷ 11 = 51, 561 ÷ 51 = 11 — and 51 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 51 and of y/51 by 11.

11 and 51 are coprime (GCF = 1), so their LCM is simply the product: 11 × 51 = 561.

11 — prime

51 = 3 × 17

Prime1151Highest power
3—33
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 = 3 × 11 × 17 = 561

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FAQ

What's the Least Common Multiple (LCM) of 11 and 51?

LCM of 11 and 51 is 561

How to find the LCM of 11 and 51 using prime factorization?

To find the LCM of 11 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 561.

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 51: LCM = 561, GCF = 1.