LCM for 19 and 42

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What's the Least Common Multiple (LCM) of 19 and 42?

Answer

LCM of 19 and 42 is
798

First common multiples: 798; 1,596; 2,394; …

798 is divisible by both: 798 ÷ 19 = 42, 798 ÷ 42 = 19 — and 42 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/19 by 42 and of y/42 by 19.

19 and 42 are coprime (GCF = 1), so their LCM is simply the product: 19 × 42 = 798.

19 — prime

42 = 2 × 3 × 7

Prime1942Highest power
2—22
3—33
7—77
1919—19

— = 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 × 19 = 798

See Also

FAQ

What's the Least Common Multiple (LCM) of 19 and 42?

LCM of 19 and 42 is 798

How to find the LCM of 19 and 42 using prime factorization?

To find the LCM of 19 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 798.

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 19 and 42: LCM = 798, GCF = 1.