What is the Least Common Multiple of 56460 and 56475?

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 56460 and 56475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56460 and 56475, than apply into the LCM equation.

GCF(56460,56475) = 15
LCM(56460,56475) = ( 56460 × 56475) / 15
LCM(56460,56475) = 3188578500 / 15
LCM(56460,56475) = 212571900

Least Common Multiple (LCM) of 56460 and 56475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56460 and 56475. First we will calculate the prime factors of 56460 and 56475.

Prime Factorization of 56460

Prime Factorization of 56475

Now multiplying the highest exponent prime factors to calculate the LCM of 56460 and 56475.

LCM(56460,56475) = 2² × 3² × 5² × 941¹ × 251¹
LCM(56460,56475) = 212571900