GCF and LCM Calculator Logo

What is the Least Common Multiple of 55613 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 55613 and 55627 is 3093584351.

LCM(55613,55627) = 3093584351

LCM Calculator and
and

Least Common Multiple of 55613 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 55613 and 55627, than apply into the LCM equation.

GCF(55613,55627) = 1
LCM(55613,55627) = ( 55613 × 55627) / 1
LCM(55613,55627) = 3093584351 / 1
LCM(55613,55627) = 3093584351

Least Common Multiple (LCM) of 55613 and 55627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55613 and 55627. First we will calculate the prime factors of 55613 and 55627.

Prime Factorization of 55613

Prime factors of 55613 are 19, 2927. Prime factorization of 55613 in exponential form is:

55613 = 191 × 29271

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 55613 and 55627.

LCM(55613,55627) = 191 × 29271 × 111 × 131 × 3891
LCM(55613,55627) = 3093584351