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What is the Least Common Multiple of 18379 and 18390?

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 18379 and 18390 is 337989810.

LCM(18379,18390) = 337989810

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Least Common Multiple of 18379 and 18390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18379 and 18390, than apply into the LCM equation.

GCF(18379,18390) = 1
LCM(18379,18390) = ( 18379 × 18390) / 1
LCM(18379,18390) = 337989810 / 1
LCM(18379,18390) = 337989810

Least Common Multiple (LCM) of 18379 and 18390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18379 and 18390. First we will calculate the prime factors of 18379 and 18390.

Prime Factorization of 18379

Prime factors of 18379 are 18379. Prime factorization of 18379 in exponential form is:

18379 = 183791

Prime Factorization of 18390

Prime factors of 18390 are 2, 3, 5, 613. Prime factorization of 18390 in exponential form is:

18390 = 21 × 31 × 51 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 18379 and 18390.

LCM(18379,18390) = 183791 × 21 × 31 × 51 × 6131
LCM(18379,18390) = 337989810