What is the Least Common Multiple of 56700 and 56710?

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 56710 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 56710, than apply into the LCM equation.

GCF(56700,56710) = 10
LCM(56700,56710) = ( 56700 × 56710) / 10
LCM(56700,56710) = 3215457000 / 10
LCM(56700,56710) = 321545700

Least Common Multiple (LCM) of 56700 and 56710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56700 and 56710. First we will calculate the prime factors of 56700 and 56710.

Prime Factorization of 56700

Prime Factorization of 56710

Now multiplying the highest exponent prime factors to calculate the LCM of 56700 and 56710.

LCM(56700,56710) = 2² × 3⁴ × 5² × 7¹ × 53¹ × 107¹
LCM(56700,56710) = 321545700