What is the Least Common Multiple of 72597 and 72617?

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 72597 and 72617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72597 and 72617, than apply into the LCM equation.

GCF(72597,72617) = 1
LCM(72597,72617) = ( 72597 × 72617) / 1
LCM(72597,72617) = 5271776349 / 1
LCM(72597,72617) = 5271776349

Least Common Multiple (LCM) of 72597 and 72617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72597 and 72617. First we will calculate the prime factors of 72597 and 72617.

Prime Factorization of 72597

Prime Factorization of 72617

Now multiplying the highest exponent prime factors to calculate the LCM of 72597 and 72617.

LCM(72597,72617) = 3¹ × 7¹ × 3457¹ × 72617¹
LCM(72597,72617) = 5271776349