LCM for 42 and 98

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What's the Least Common Multiple (LCM) of 42 and 98?

Answer

LCM of 42 and 98 is
294

First common multiples: 294, 588, 882, …

294 is divisible by both: 294 ÷ 42 = 7, 294 ÷ 98 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 7 and of y/98 by 3.

42 = 2 × 3 × 7

98 = 2 × 72

Prime4298Highest power
2222
33—3
777272

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

LCM = 2 × 3 × 72 = 294

See Also

FAQ

What's the Least Common Multiple (LCM) of 42 and 98?

LCM of 42 and 98 is 294

How to find the LCM of 42 and 98 using prime factorization?

To find the LCM of 42 and 98, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 294.

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 98: LCM = 294, GCF = 14.