What is the Least Common Multiple of 96567 and 96579?

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 96567 and 96579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96567 and 96579, than apply into the LCM equation.

GCF(96567,96579) = 3
LCM(96567,96579) = ( 96567 × 96579) / 3
LCM(96567,96579) = 9326344293 / 3
LCM(96567,96579) = 3108781431

Least Common Multiple (LCM) of 96567 and 96579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96567 and 96579. First we will calculate the prime factors of 96567 and 96579.

Prime Factorization of 96567

Prime Factorization of 96579

Now multiplying the highest exponent prime factors to calculate the LCM of 96567 and 96579.

LCM(96567,96579) = 3³ × 32189¹ × 7² × 73¹
LCM(96567,96579) = 3108781431