What is the Least Common Multiple of 50088 and 50093?

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 50088 and 50093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50088 and 50093, than apply into the LCM equation.

GCF(50088,50093) = 1
LCM(50088,50093) = ( 50088 × 50093) / 1
LCM(50088,50093) = 2509058184 / 1
LCM(50088,50093) = 2509058184

Least Common Multiple (LCM) of 50088 and 50093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50088 and 50093. First we will calculate the prime factors of 50088 and 50093.

Prime Factorization of 50088

Prime Factorization of 50093

Now multiplying the highest exponent prime factors to calculate the LCM of 50088 and 50093.

LCM(50088,50093) = 2³ × 3¹ × 2087¹ × 50093¹
LCM(50088,50093) = 2509058184