What is the Least Common Multiple of 72489 and 72500?

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 72489 and 72500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72489 and 72500, than apply into the LCM equation.

GCF(72489,72500) = 1
LCM(72489,72500) = ( 72489 × 72500) / 1
LCM(72489,72500) = 5255452500 / 1
LCM(72489,72500) = 5255452500

Least Common Multiple (LCM) of 72489 and 72500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72489 and 72500. First we will calculate the prime factors of 72489 and 72500.

Prime Factorization of 72489

Prime Factorization of 72500

Now multiplying the highest exponent prime factors to calculate the LCM of 72489 and 72500.

LCM(72489,72500) = 3¹ × 73¹ × 331¹ × 2² × 5⁴ × 29¹
LCM(72489,72500) = 5255452500