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What is the Least Common Multiple of 18622 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 18622 and 18638 is 173538418.

LCM(18622,18638) = 173538418

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Least Common Multiple of 18622 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 18622 and 18638, than apply into the LCM equation.

GCF(18622,18638) = 2
LCM(18622,18638) = ( 18622 × 18638) / 2
LCM(18622,18638) = 347076836 / 2
LCM(18622,18638) = 173538418

Least Common Multiple (LCM) of 18622 and 18638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18622 and 18638. First we will calculate the prime factors of 18622 and 18638.

Prime Factorization of 18622

Prime factors of 18622 are 2, 9311. Prime factorization of 18622 in exponential form is:

18622 = 21 × 93111

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 18622 and 18638.

LCM(18622,18638) = 21 × 93111 × 93191
LCM(18622,18638) = 173538418