What is the Least Common Multiple of 50604 and 50617?

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 50604 and 50617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50604 and 50617, than apply into the LCM equation.

GCF(50604,50617) = 1
LCM(50604,50617) = ( 50604 × 50617) / 1
LCM(50604,50617) = 2561422668 / 1
LCM(50604,50617) = 2561422668

Least Common Multiple (LCM) of 50604 and 50617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50604 and 50617. First we will calculate the prime factors of 50604 and 50617.

Prime Factorization of 50604

Prime Factorization of 50617

Now multiplying the highest exponent prime factors to calculate the LCM of 50604 and 50617.

LCM(50604,50617) = 2² × 3¹ × 4217¹ × 7² × 1033¹
LCM(50604,50617) = 2561422668