LCM for 11 and 42

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What's the Least Common Multiple (LCM) of 11 and 42?

Answer

LCM of 11 and 42 is
462

First common multiples: 462; 924; 1,386; …

462 is divisible by both: 462 ÷ 11 = 42, 462 ÷ 42 = 11 — and 42 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 42 and of y/42 by 11.

11 and 42 are coprime (GCF = 1), so their LCM is simply the product: 11 × 42 = 462.

11 — prime

42 = 2 × 3 × 7

Prime1142Highest power
2—22
3—33
7—77
1111—11

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

LCM = 2 × 3 × 7 × 11 = 462

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 42?

LCM of 11 and 42 is 462

How to find the LCM of 11 and 42 using prime factorization?

To find the LCM of 11 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 462.

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 42: LCM = 462, GCF = 1.