What is the Least Common Multiple of 72608 and 72627?

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 72608 and 72627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72608 and 72627, than apply into the LCM equation.

GCF(72608,72627) = 1
LCM(72608,72627) = ( 72608 × 72627) / 1
LCM(72608,72627) = 5273301216 / 1
LCM(72608,72627) = 5273301216

Least Common Multiple (LCM) of 72608 and 72627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72608 and 72627. First we will calculate the prime factors of 72608 and 72627.

Prime Factorization of 72608

Prime Factorization of 72627

Now multiplying the highest exponent prime factors to calculate the LCM of 72608 and 72627.

LCM(72608,72627) = 2⁵ × 2269¹ × 3¹ × 43¹ × 563¹
LCM(72608,72627) = 5273301216