What is the Least Common Multiple of 50475 and 50493?

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 50475 and 50493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50475 and 50493, than apply into the LCM equation.

GCF(50475,50493) = 3
LCM(50475,50493) = ( 50475 × 50493) / 3
LCM(50475,50493) = 2548634175 / 3
LCM(50475,50493) = 849544725

Least Common Multiple (LCM) of 50475 and 50493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50475 and 50493. First we will calculate the prime factors of 50475 and 50493.

Prime Factorization of 50475

Prime Factorization of 50493

Now multiplying the highest exponent prime factors to calculate the LCM of 50475 and 50493.

LCM(50475,50493) = 3¹ × 5² × 673¹ × 16831¹
LCM(50475,50493) = 849544725