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What is the Least Common Multiple of 18621 and 18638?

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 18621 and 18638 is 347058198.

LCM(18621,18638) = 347058198

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Least Common Multiple of 18621 and 18638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18621 and 18638, than apply into the LCM equation.

GCF(18621,18638) = 1
LCM(18621,18638) = ( 18621 × 18638) / 1
LCM(18621,18638) = 347058198 / 1
LCM(18621,18638) = 347058198

Least Common Multiple (LCM) of 18621 and 18638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18621 and 18638. First we will calculate the prime factors of 18621 and 18638.

Prime Factorization of 18621

Prime factors of 18621 are 3, 2069. Prime factorization of 18621 in exponential form is:

18621 = 32 × 20691

Prime Factorization of 18638

Prime factors of 18638 are 2, 9319. Prime factorization of 18638 in exponential form is:

18638 = 21 × 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 18621 and 18638.

LCM(18621,18638) = 32 × 20691 × 21 × 93191
LCM(18621,18638) = 347058198