What is the Least Common Multiple of 72075 and 72089?

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 72075 and 72089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72075 and 72089, than apply into the LCM equation.

GCF(72075,72089) = 1
LCM(72075,72089) = ( 72075 × 72089) / 1
LCM(72075,72089) = 5195814675 / 1
LCM(72075,72089) = 5195814675

Least Common Multiple (LCM) of 72075 and 72089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72075 and 72089. First we will calculate the prime factors of 72075 and 72089.

Prime Factorization of 72075

Prime Factorization of 72089

Now multiplying the highest exponent prime factors to calculate the LCM of 72075 and 72089.

LCM(72075,72089) = 3¹ × 5² × 31² × 72089¹
LCM(72075,72089) = 5195814675