What is the Least Common Multiple of 50595 and 50604?

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 50595 and 50604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50595 and 50604, than apply into the LCM equation.

GCF(50595,50604) = 3
LCM(50595,50604) = ( 50595 × 50604) / 3
LCM(50595,50604) = 2560309380 / 3
LCM(50595,50604) = 853436460

Least Common Multiple (LCM) of 50595 and 50604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50595 and 50604. First we will calculate the prime factors of 50595 and 50604.

Prime Factorization of 50595

Prime Factorization of 50604

Now multiplying the highest exponent prime factors to calculate the LCM of 50595 and 50604.

LCM(50595,50604) = 3¹ × 5¹ × 3373¹ × 2² × 4217¹
LCM(50595,50604) = 853436460