What is the Least Common Multiple of 72617 and 72636?

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 72617 and 72636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72617 and 72636, than apply into the LCM equation.

GCF(72617,72636) = 1
LCM(72617,72636) = ( 72617 × 72636) / 1
LCM(72617,72636) = 5274608412 / 1
LCM(72617,72636) = 5274608412

Least Common Multiple (LCM) of 72617 and 72636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72617 and 72636. First we will calculate the prime factors of 72617 and 72636.

Prime Factorization of 72617

Prime Factorization of 72636

Now multiplying the highest exponent prime factors to calculate the LCM of 72617 and 72636.

LCM(72617,72636) = 72617¹ × 2² × 3¹ × 6053¹
LCM(72617,72636) = 5274608412