What is the Least Common Multiple of 96249 and 96264?

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 96249 and 96264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96249 and 96264, than apply into the LCM equation.

GCF(96249,96264) = 3
LCM(96249,96264) = ( 96249 × 96264) / 3
LCM(96249,96264) = 9265313736 / 3
LCM(96249,96264) = 3088437912

Least Common Multiple (LCM) of 96249 and 96264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96249 and 96264. First we will calculate the prime factors of 96249 and 96264.

Prime Factorization of 96249

Prime Factorization of 96264

Now multiplying the highest exponent prime factors to calculate the LCM of 96249 and 96264.

LCM(96249,96264) = 3² × 32083¹ × 2³ × 7¹ × 191¹
LCM(96249,96264) = 3088437912