What is the Least Common Multiple of 50360 and 50375?

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 50360 and 50375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50360 and 50375, than apply into the LCM equation.

GCF(50360,50375) = 5
LCM(50360,50375) = ( 50360 × 50375) / 5
LCM(50360,50375) = 2536885000 / 5
LCM(50360,50375) = 507377000

Least Common Multiple (LCM) of 50360 and 50375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50360 and 50375. First we will calculate the prime factors of 50360 and 50375.

Prime Factorization of 50360

Prime Factorization of 50375

Now multiplying the highest exponent prime factors to calculate the LCM of 50360 and 50375.

LCM(50360,50375) = 2³ × 5³ × 1259¹ × 13¹ × 31¹
LCM(50360,50375) = 507377000