What is the Least Common Multiple of 72264 and 72272?

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 72264 and 72272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72264 and 72272, than apply into the LCM equation.

GCF(72264,72272) = 8
LCM(72264,72272) = ( 72264 × 72272) / 8
LCM(72264,72272) = 5222663808 / 8
LCM(72264,72272) = 652832976

Least Common Multiple (LCM) of 72264 and 72272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72264 and 72272. First we will calculate the prime factors of 72264 and 72272.

Prime Factorization of 72264

Prime Factorization of 72272

Now multiplying the highest exponent prime factors to calculate the LCM of 72264 and 72272.

LCM(72264,72272) = 2⁴ × 3¹ × 3011¹ × 4517¹
LCM(72264,72272) = 652832976