What is the Least Common Multiple of 96087 and 96093?

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 96087 and 96093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96087 and 96093, than apply into the LCM equation.

GCF(96087,96093) = 3
LCM(96087,96093) = ( 96087 × 96093) / 3
LCM(96087,96093) = 9233288091 / 3
LCM(96087,96093) = 3077762697

Least Common Multiple (LCM) of 96087 and 96093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96087 and 96093. First we will calculate the prime factors of 96087 and 96093.

Prime Factorization of 96087

Prime Factorization of 96093

Now multiplying the highest exponent prime factors to calculate the LCM of 96087 and 96093.

LCM(96087,96093) = 3³ × 32029¹ × 3559¹
LCM(96087,96093) = 3077762697