GCF and LCM Calculator Logo

What is the Least Common Multiple of 56562 and 56568?

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 56562 and 56568 is 533266536.

LCM(56562,56568) = 533266536

LCM Calculator and
and

Least Common Multiple of 56562 and 56568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56562 and 56568, than apply into the LCM equation.

GCF(56562,56568) = 6
LCM(56562,56568) = ( 56562 × 56568) / 6
LCM(56562,56568) = 3199599216 / 6
LCM(56562,56568) = 533266536

Least Common Multiple (LCM) of 56562 and 56568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56562 and 56568. First we will calculate the prime factors of 56562 and 56568.

Prime Factorization of 56562

Prime factors of 56562 are 2, 3, 11, 857. Prime factorization of 56562 in exponential form is:

56562 = 21 × 31 × 111 × 8571

Prime Factorization of 56568

Prime factors of 56568 are 2, 3, 2357. Prime factorization of 56568 in exponential form is:

56568 = 23 × 31 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 56562 and 56568.

LCM(56562,56568) = 23 × 31 × 111 × 8571 × 23571
LCM(56562,56568) = 533266536