LCM for 6 and 20

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What's the Least Common Multiple (LCM) of 6 and 20?

Answer

LCM of 6 and 20 is
60

First common multiples: 60, 120, 180, …

60 is divisible by both: 60 ÷ 6 = 10, 60 ÷ 20 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 10 and of y/20 by 3.

6 = 2 × 3

20 = 22 × 5

Prime620Highest power
222222
33—3
5—55

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

LCM = 22 × 3 × 5 = 60

See Also

FAQ

What's the Least Common Multiple (LCM) of 6 and 20?

LCM of 6 and 20 is 60

How to find the LCM of 6 and 20 using prime factorization?

To find the LCM of 6 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

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 20: LCM = 60, GCF = 2.