LCM for 42 and 84

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What's the Least Common Multiple (LCM) of 42 and 84?

Answer

LCM of 42 and 84 is
84

First common multiples: 84, 168, 252, …

As a common denominator: multiply the top and bottom of x/42 by 2.

42 divides 84 (84 ÷ 42 = 2), so the LCM is the larger number itself.

42 = 2 × 3 × 7

84 = 22 × 3 × 7

Prime4284Highest power
222222
3333
7777

LCM = 22 × 3 × 7 = 84

See Also

FAQ

What's the Least Common Multiple (LCM) of 42 and 84?

LCM of 42 and 84 is 84

How to find the LCM of 42 and 84 using prime factorization?

To find the LCM of 42 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 84.

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 42 and 84: LCM = 84, GCF = 42.