What is the Least Common Multiple of 50359 and 50379?

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 50359 and 50379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50359 and 50379, than apply into the LCM equation.

GCF(50359,50379) = 1
LCM(50359,50379) = ( 50359 × 50379) / 1
LCM(50359,50379) = 2537036061 / 1
LCM(50359,50379) = 2537036061

Least Common Multiple (LCM) of 50359 and 50379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50359 and 50379. First we will calculate the prime factors of 50359 and 50379.

Prime Factorization of 50359

Prime Factorization of 50379

Now multiplying the highest exponent prime factors to calculate the LCM of 50359 and 50379.

LCM(50359,50379) = 50359¹ × 3¹ × 7¹ × 2399¹
LCM(50359,50379) = 2537036061