What is the Least Common Multiple of 72249 and 72264?

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 72249 and 72264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72249 and 72264, than apply into the LCM equation.

GCF(72249,72264) = 3
LCM(72249,72264) = ( 72249 × 72264) / 3
LCM(72249,72264) = 5221001736 / 3
LCM(72249,72264) = 1740333912

Least Common Multiple (LCM) of 72249 and 72264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72249 and 72264. First we will calculate the prime factors of 72249 and 72264.

Prime Factorization of 72249

Prime Factorization of 72264

Now multiplying the highest exponent prime factors to calculate the LCM of 72249 and 72264.

LCM(72249,72264) = 3¹ × 24083¹ × 2³ × 3011¹
LCM(72249,72264) = 1740333912