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What is the Least Common Multiple of 55612 and 55627?

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 55612 and 55627 is 3093528724.

LCM(55612,55627) = 3093528724

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Least Common Multiple of 55612 and 55627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55612 and 55627, than apply into the LCM equation.

GCF(55612,55627) = 1
LCM(55612,55627) = ( 55612 × 55627) / 1
LCM(55612,55627) = 3093528724 / 1
LCM(55612,55627) = 3093528724

Least Common Multiple (LCM) of 55612 and 55627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55612 and 55627. First we will calculate the prime factors of 55612 and 55627.

Prime Factorization of 55612

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

55612 = 22 × 139031

Prime Factorization of 55627

Prime factors of 55627 are 11, 13, 389. Prime factorization of 55627 in exponential form is:

55627 = 111 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 55612 and 55627.

LCM(55612,55627) = 22 × 139031 × 111 × 131 × 3891
LCM(55612,55627) = 3093528724