GCF and LCM Calculator Logo

What is the Least Common Multiple of 56613 and 56623?

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 56613 and 56623 is 3205597899.

LCM(56613,56623) = 3205597899

LCM Calculator and
and

Least Common Multiple of 56613 and 56623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56613 and 56623, than apply into the LCM equation.

GCF(56613,56623) = 1
LCM(56613,56623) = ( 56613 × 56623) / 1
LCM(56613,56623) = 3205597899 / 1
LCM(56613,56623) = 3205597899

Least Common Multiple (LCM) of 56613 and 56623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56613 and 56623. First we will calculate the prime factors of 56613 and 56623.

Prime Factorization of 56613

Prime factors of 56613 are 3, 113, 167. Prime factorization of 56613 in exponential form is:

56613 = 31 × 1131 × 1671

Prime Factorization of 56623

Prime factors of 56623 are 7, 8089. Prime factorization of 56623 in exponential form is:

56623 = 71 × 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 56613 and 56623.

LCM(56613,56623) = 31 × 1131 × 1671 × 71 × 80891
LCM(56613,56623) = 3205597899