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What is the Least Common Multiple of 55604 and 55612?

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 55604 and 55612 is 773062412.

LCM(55604,55612) = 773062412

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Least Common Multiple of 55604 and 55612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55604 and 55612, than apply into the LCM equation.

GCF(55604,55612) = 4
LCM(55604,55612) = ( 55604 × 55612) / 4
LCM(55604,55612) = 3092249648 / 4
LCM(55604,55612) = 773062412

Least Common Multiple (LCM) of 55604 and 55612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55604 and 55612. First we will calculate the prime factors of 55604 and 55612.

Prime Factorization of 55604

Prime factors of 55604 are 2, 13901. Prime factorization of 55604 in exponential form is:

55604 = 22 × 139011

Prime Factorization of 55612

Prime factors of 55612 are 2, 13903. Prime factorization of 55612 in exponential form is:

55612 = 22 × 139031

Now multiplying the highest exponent prime factors to calculate the LCM of 55604 and 55612.

LCM(55604,55612) = 22 × 139011 × 139031
LCM(55604,55612) = 773062412