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What is the Least Common Multiple of 18737 and 18742?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18737 and 18742 is 351168854.

LCM(18737,18742) = 351168854

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Least Common Multiple of 18737 and 18742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18737 and 18742, than apply into the LCM equation.

GCF(18737,18742) = 1
LCM(18737,18742) = ( 18737 × 18742) / 1
LCM(18737,18742) = 351168854 / 1
LCM(18737,18742) = 351168854

Least Common Multiple (LCM) of 18737 and 18742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18737 and 18742. First we will calculate the prime factors of 18737 and 18742.

Prime Factorization of 18737

Prime factors of 18737 are 41, 457. Prime factorization of 18737 in exponential form is:

18737 = 411 × 4571

Prime Factorization of 18742

Prime factors of 18742 are 2, 9371. Prime factorization of 18742 in exponential form is:

18742 = 21 × 93711

Now multiplying the highest exponent prime factors to calculate the LCM of 18737 and 18742.

LCM(18737,18742) = 411 × 4571 × 21 × 93711
LCM(18737,18742) = 351168854