What is the Least Common Multiple of 72288 and 72304?

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 72288 and 72304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72288 and 72304, than apply into the LCM equation.

GCF(72288,72304) = 16
LCM(72288,72304) = ( 72288 × 72304) / 16
LCM(72288,72304) = 5226711552 / 16
LCM(72288,72304) = 326669472

Least Common Multiple (LCM) of 72288 and 72304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72288 and 72304. First we will calculate the prime factors of 72288 and 72304.

Prime Factorization of 72288

Prime Factorization of 72304

Now multiplying the highest exponent prime factors to calculate the LCM of 72288 and 72304.

LCM(72288,72304) = 2⁵ × 3² × 251¹ × 4519¹
LCM(72288,72304) = 326669472