What is the Least Common Multiple of 56700 and 56720?

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 of 56700 and 56720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56700 and 56720, than apply into the LCM equation.

GCF(56700,56720) = 20
LCM(56700,56720) = ( 56700 × 56720) / 20
LCM(56700,56720) = 3216024000 / 20
LCM(56700,56720) = 160801200

Least Common Multiple (LCM) of 56700 and 56720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56700 and 56720. First we will calculate the prime factors of 56700 and 56720.

Prime Factorization of 56700

Prime Factorization of 56720

Now multiplying the highest exponent prime factors to calculate the LCM of 56700 and 56720.

LCM(56700,56720) = 2⁴ × 3⁴ × 5² × 7¹ × 709¹
LCM(56700,56720) = 160801200