What is the Least Common Multiple of 50604 and 50621?

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 50621 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 50621, than apply into the LCM equation.

GCF(50604,50621) = 1
LCM(50604,50621) = ( 50604 × 50621) / 1
LCM(50604,50621) = 2561625084 / 1
LCM(50604,50621) = 2561625084

Least Common Multiple (LCM) of 50604 and 50621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50604 and 50621. First we will calculate the prime factors of 50604 and 50621.

Prime Factorization of 50604

Prime Factorization of 50621

Now multiplying the highest exponent prime factors to calculate the LCM of 50604 and 50621.

LCM(50604,50621) = 2² × 3¹ × 4217¹ × 223¹ × 227¹
LCM(50604,50621) = 2561625084