LCM for 6 and 39

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What's the Least Common Multiple (LCM) of 6 and 39?

Answer

LCM of 6 and 39 is
78

First common multiples: 78, 156, 234, …

78 is divisible by both: 78 ÷ 6 = 13, 78 ÷ 39 = 2 — and 13 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 13 and of y/39 by 2.

6 = 2 × 3

39 = 3 × 13

Prime639Highest power
22—2
3333
13—1313

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

LCM = 2 × 3 × 13 = 78

See Also

FAQ

What's the Least Common Multiple (LCM) of 6 and 39?

LCM of 6 and 39 is 78

How to find the LCM of 6 and 39 using prime factorization?

To find the LCM of 6 and 39, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 78.

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 6 and 39: LCM = 78, GCF = 3.