What is the Least Common Multiple of 72617 and 72631?

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 72631 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 72631, than apply into the LCM equation.

GCF(72617,72631) = 1
LCM(72617,72631) = ( 72617 × 72631) / 1
LCM(72617,72631) = 5274245327 / 1
LCM(72617,72631) = 5274245327

Least Common Multiple (LCM) of 72617 and 72631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72617 and 72631. First we will calculate the prime factors of 72617 and 72631.

Prime Factorization of 72617

Prime Factorization of 72631

Now multiplying the highest exponent prime factors to calculate the LCM of 72617 and 72631.

LCM(72617,72631) = 72617¹ × 13¹ × 37¹ × 151¹
LCM(72617,72631) = 5274245327