LCM for 3 and 42

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What's the Least Common Multiple (LCM) of 3 and 42?

Answer

LCM of 3 and 42 is
42

First common multiples: 42, 84, 126, …

As a common denominator: multiply the top and bottom of x/3 by 14.

3 divides 42 (42 ÷ 3 = 14), so the LCM is the larger number itself.

3 — prime

42 = 2 × 3 × 7

Prime342Highest power
2—22
3333
7—77

— = 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 = 42

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 42?

LCM of 3 and 42 is 42

How to find the LCM of 3 and 42 using prime factorization?

To find the LCM of 3 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 42.

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 3 and 42: LCM = 42, GCF = 3.