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What is the Least Common Multiple of 15612 and 15619?

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 15612 and 15619 is 243843828.

LCM(15612,15619) = 243843828

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Least Common Multiple of 15612 and 15619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15612 and 15619, than apply into the LCM equation.

GCF(15612,15619) = 1
LCM(15612,15619) = ( 15612 × 15619) / 1
LCM(15612,15619) = 243843828 / 1
LCM(15612,15619) = 243843828

Least Common Multiple (LCM) of 15612 and 15619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15612 and 15619. First we will calculate the prime factors of 15612 and 15619.

Prime Factorization of 15612

Prime factors of 15612 are 2, 3, 1301. Prime factorization of 15612 in exponential form is:

15612 = 22 × 31 × 13011

Prime Factorization of 15619

Prime factors of 15619 are 15619. Prime factorization of 15619 in exponential form is:

15619 = 156191

Now multiplying the highest exponent prime factors to calculate the LCM of 15612 and 15619.

LCM(15612,15619) = 22 × 31 × 13011 × 156191
LCM(15612,15619) = 243843828