What is the Least Common Multiple of 72252 and 72256?

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 72252 and 72256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72252 and 72256, than apply into the LCM equation.

GCF(72252,72256) = 4
LCM(72252,72256) = ( 72252 × 72256) / 4
LCM(72252,72256) = 5220640512 / 4
LCM(72252,72256) = 1305160128

Least Common Multiple (LCM) of 72252 and 72256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72252 and 72256. First we will calculate the prime factors of 72252 and 72256.

Prime Factorization of 72252

Prime Factorization of 72256

Now multiplying the highest exponent prime factors to calculate the LCM of 72252 and 72256.

LCM(72252,72256) = 2⁶ × 3⁴ × 223¹ × 1129¹
LCM(72252,72256) = 1305160128