What is the Least Common Multiple of 72747 and 72756?

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 72747 and 72756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72747 and 72756, than apply into the LCM equation.

GCF(72747,72756) = 9
LCM(72747,72756) = ( 72747 × 72756) / 9
LCM(72747,72756) = 5292780732 / 9
LCM(72747,72756) = 588086748

Least Common Multiple (LCM) of 72747 and 72756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72747 and 72756. First we will calculate the prime factors of 72747 and 72756.

Prime Factorization of 72747

Prime Factorization of 72756

Now multiplying the highest exponent prime factors to calculate the LCM of 72747 and 72756.

LCM(72747,72756) = 3² × 59¹ × 137¹ × 2² × 43¹ × 47¹
LCM(72747,72756) = 588086748