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What is the Least Common Multiple of 18612 and 18624?

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 18612 and 18624 is 28885824.

LCM(18612,18624) = 28885824

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Least Common Multiple of 18612 and 18624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18612 and 18624, than apply into the LCM equation.

GCF(18612,18624) = 12
LCM(18612,18624) = ( 18612 × 18624) / 12
LCM(18612,18624) = 346629888 / 12
LCM(18612,18624) = 28885824

Least Common Multiple (LCM) of 18612 and 18624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18612 and 18624. First we will calculate the prime factors of 18612 and 18624.

Prime Factorization of 18612

Prime factors of 18612 are 2, 3, 11, 47. Prime factorization of 18612 in exponential form is:

18612 = 22 × 32 × 111 × 471

Prime Factorization of 18624

Prime factors of 18624 are 2, 3, 97. Prime factorization of 18624 in exponential form is:

18624 = 26 × 31 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18612 and 18624.

LCM(18612,18624) = 26 × 32 × 111 × 471 × 971
LCM(18612,18624) = 28885824