What is the Least Common Multiple of 72264 and 72282?

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 72282 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 72282, than apply into the LCM equation.

GCF(72264,72282) = 6
LCM(72264,72282) = ( 72264 × 72282) / 6
LCM(72264,72282) = 5223386448 / 6
LCM(72264,72282) = 870564408

Least Common Multiple (LCM) of 72264 and 72282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72264 and 72282. First we will calculate the prime factors of 72264 and 72282.

Prime Factorization of 72264

Prime Factorization of 72282

Now multiplying the highest exponent prime factors to calculate the LCM of 72264 and 72282.

LCM(72264,72282) = 2³ × 3¹ × 3011¹ × 7¹ × 1721¹
LCM(72264,72282) = 870564408