What is the Least Common Multiple of 75489 and 75500?

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 75489 and 75500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75489 and 75500, than apply into the LCM equation.

GCF(75489,75500) = 1
LCM(75489,75500) = ( 75489 × 75500) / 1
LCM(75489,75500) = 5699419500 / 1
LCM(75489,75500) = 5699419500

Least Common Multiple (LCM) of 75489 and 75500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75489 and 75500. First we will calculate the prime factors of 75489 and 75500.

Prime Factorization of 75489

Prime Factorization of 75500

Now multiplying the highest exponent prime factors to calculate the LCM of 75489 and 75500.

LCM(75489,75500) = 3¹ × 25163¹ × 2² × 5³ × 151¹
LCM(75489,75500) = 5699419500