GCF and LCM Calculator Logo

What is the Least Common Multiple of 56310 and 56322?

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 56310 and 56322 is 528581970.

LCM(56310,56322) = 528581970

LCM Calculator and
and

Least Common Multiple of 56310 and 56322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56310 and 56322, than apply into the LCM equation.

GCF(56310,56322) = 6
LCM(56310,56322) = ( 56310 × 56322) / 6
LCM(56310,56322) = 3171491820 / 6
LCM(56310,56322) = 528581970

Least Common Multiple (LCM) of 56310 and 56322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56310 and 56322. First we will calculate the prime factors of 56310 and 56322.

Prime Factorization of 56310

Prime factors of 56310 are 2, 3, 5, 1877. Prime factorization of 56310 in exponential form is:

56310 = 21 × 31 × 51 × 18771

Prime Factorization of 56322

Prime factors of 56322 are 2, 3, 7, 149. Prime factorization of 56322 in exponential form is:

56322 = 21 × 33 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 56310 and 56322.

LCM(56310,56322) = 21 × 33 × 51 × 18771 × 71 × 1491
LCM(56310,56322) = 528581970