What is the Least Common Multiple of 72597 and 72609?

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 72609 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 72609, than apply into the LCM equation.

GCF(72597,72609) = 3
LCM(72597,72609) = ( 72597 × 72609) / 3
LCM(72597,72609) = 5271195573 / 3
LCM(72597,72609) = 1757065191

Least Common Multiple (LCM) of 72597 and 72609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72597 and 72609. First we will calculate the prime factors of 72597 and 72609.

Prime Factorization of 72597

Prime Factorization of 72609

Now multiplying the highest exponent prime factors to calculate the LCM of 72597 and 72609.

LCM(72597,72609) = 3¹ × 7¹ × 3457¹ × 24203¹
LCM(72597,72609) = 1757065191