What is the Least Common Multiple of 96555 and 96567?

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 96555 and 96567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96555 and 96567, than apply into the LCM equation.

GCF(96555,96567) = 3
LCM(96555,96567) = ( 96555 × 96567) / 3
LCM(96555,96567) = 9324026685 / 3
LCM(96555,96567) = 3108008895

Least Common Multiple (LCM) of 96555 and 96567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96555 and 96567. First we will calculate the prime factors of 96555 and 96567.

Prime Factorization of 96555

Prime Factorization of 96567

Now multiplying the highest exponent prime factors to calculate the LCM of 96555 and 96567.

LCM(96555,96567) = 3¹ × 5¹ × 41¹ × 157¹ × 32189¹
LCM(96555,96567) = 3108008895