What is the Least Common Multiple of 56490 and 56500?

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 56490 and 56500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56490 and 56500, than apply into the LCM equation.

GCF(56490,56500) = 10
LCM(56490,56500) = ( 56490 × 56500) / 10
LCM(56490,56500) = 3191685000 / 10
LCM(56490,56500) = 319168500

Least Common Multiple (LCM) of 56490 and 56500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56490 and 56500. First we will calculate the prime factors of 56490 and 56500.

Prime Factorization of 56490

Prime Factorization of 56500

Now multiplying the highest exponent prime factors to calculate the LCM of 56490 and 56500.

LCM(56490,56500) = 2² × 3¹ × 5³ × 7¹ × 269¹ × 113¹
LCM(56490,56500) = 319168500