LCM for 42 and 126

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What's the Least Common Multiple (LCM) of 42 and 126?

Answer

LCM of 42 and 126 is
126

First common multiples: 126, 252, 378, …

As a common denominator: multiply the top and bottom of x/42 by 3.

42 divides 126 (126 ÷ 42 = 3), so the LCM is the larger number itself.

42 = 2 × 3 × 7

126 = 2 × 32 × 7

Prime42126Highest power
2222
333232
7777

LCM = 2 × 32 × 7 = 126

See Also

FAQ

What's the Least Common Multiple (LCM) of 42 and 126?

LCM of 42 and 126 is 126

How to find the LCM of 42 and 126 using prime factorization?

To find the LCM of 42 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 126.

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 126: LCM = 126, GCF = 42.