What is the Least Common Multiple of 50592 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 50592 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 50592 and 50604, than apply into the LCM equation.

GCF(50592,50604) = 12
LCM(50592,50604) = ( 50592 × 50604) / 12
LCM(50592,50604) = 2560157568 / 12
LCM(50592,50604) = 213346464

Least Common Multiple (LCM) of 50592 and 50604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50592 and 50604. First we will calculate the prime factors of 50592 and 50604.

Prime Factorization of 50592

Prime Factorization of 50604

Now multiplying the highest exponent prime factors to calculate the LCM of 50592 and 50604.

LCM(50592,50604) = 2⁵ × 3¹ × 17¹ × 31¹ × 4217¹
LCM(50592,50604) = 213346464