What is the Least Common Multiple of 96609 and 96627?

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 96609 and 96627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96609 and 96627, than apply into the LCM equation.

GCF(96609,96627) = 3
LCM(96609,96627) = ( 96609 × 96627) / 3
LCM(96609,96627) = 9335037843 / 3
LCM(96609,96627) = 3111679281

Least Common Multiple (LCM) of 96609 and 96627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96609 and 96627. First we will calculate the prime factors of 96609 and 96627.

Prime Factorization of 96609

Prime Factorization of 96627

Now multiplying the highest exponent prime factors to calculate the LCM of 96609 and 96627.

LCM(96609,96627) = 3¹ × 32203¹ × 31¹ × 1039¹
LCM(96609,96627) = 3111679281