What is the Least Common Multiple of 88719 and 88725?

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 88719 and 88725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88719 and 88725, than apply into the LCM equation.

GCF(88719,88725) = 3
LCM(88719,88725) = ( 88719 × 88725) / 3
LCM(88719,88725) = 7871593275 / 3
LCM(88719,88725) = 2623864425

Least Common Multiple (LCM) of 88719 and 88725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88719 and 88725. First we will calculate the prime factors of 88719 and 88725.

Prime Factorization of 88719

Prime Factorization of 88725

Now multiplying the highest exponent prime factors to calculate the LCM of 88719 and 88725.

LCM(88719,88725) = 3¹ × 29573¹ × 5² × 7¹ × 13²
LCM(88719,88725) = 2623864425