What is the Least Common Multiple of 57489 and 57500?

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 57489 and 57500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57489 and 57500, than apply into the LCM equation.

GCF(57489,57500) = 1
LCM(57489,57500) = ( 57489 × 57500) / 1
LCM(57489,57500) = 3305617500 / 1
LCM(57489,57500) = 3305617500

Least Common Multiple (LCM) of 57489 and 57500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57489 and 57500. First we will calculate the prime factors of 57489 and 57500.

Prime Factorization of 57489

Prime Factorization of 57500

Now multiplying the highest exponent prime factors to calculate the LCM of 57489 and 57500.

LCM(57489,57500) = 3¹ × 19163¹ × 2² × 5⁴ × 23¹
LCM(57489,57500) = 3305617500