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What is the Least Common Multiple of 18371 and 18376?

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 18371 and 18376 is 337585496.

LCM(18371,18376) = 337585496

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Least Common Multiple of 18371 and 18376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18371 and 18376, than apply into the LCM equation.

GCF(18371,18376) = 1
LCM(18371,18376) = ( 18371 × 18376) / 1
LCM(18371,18376) = 337585496 / 1
LCM(18371,18376) = 337585496

Least Common Multiple (LCM) of 18371 and 18376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18371 and 18376. First we will calculate the prime factors of 18371 and 18376.

Prime Factorization of 18371

Prime factors of 18371 are 18371. Prime factorization of 18371 in exponential form is:

18371 = 183711

Prime Factorization of 18376

Prime factors of 18376 are 2, 2297. Prime factorization of 18376 in exponential form is:

18376 = 23 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 18371 and 18376.

LCM(18371,18376) = 183711 × 23 × 22971
LCM(18371,18376) = 337585496