What is the Least Common Multiple of 96549 and 96555?

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 96549 and 96555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96549 and 96555, than apply into the LCM equation.

GCF(96549,96555) = 3
LCM(96549,96555) = ( 96549 × 96555) / 3
LCM(96549,96555) = 9322288695 / 3
LCM(96549,96555) = 3107429565

Least Common Multiple (LCM) of 96549 and 96555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96549 and 96555. First we will calculate the prime factors of 96549 and 96555.

Prime Factorization of 96549

Prime Factorization of 96555

Now multiplying the highest exponent prime factors to calculate the LCM of 96549 and 96555.

LCM(96549,96555) = 3¹ × 32183¹ × 5¹ × 41¹ × 157¹
LCM(96549,96555) = 3107429565