What is the Least Common Multiple of 50375 and 50380?

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 50375 and 50380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50375 and 50380, than apply into the LCM equation.

GCF(50375,50380) = 5
LCM(50375,50380) = ( 50375 × 50380) / 5
LCM(50375,50380) = 2537892500 / 5
LCM(50375,50380) = 507578500

Least Common Multiple (LCM) of 50375 and 50380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50375 and 50380. First we will calculate the prime factors of 50375 and 50380.

Prime Factorization of 50375

Prime Factorization of 50380

Now multiplying the highest exponent prime factors to calculate the LCM of 50375 and 50380.

LCM(50375,50380) = 5³ × 13¹ × 31¹ × 2² × 11¹ × 229¹
LCM(50375,50380) = 507578500