What is the Least Common Multiple of 50338 and 50344?

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 50338 and 50344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50338 and 50344, than apply into the LCM equation.

GCF(50338,50344) = 2
LCM(50338,50344) = ( 50338 × 50344) / 2
LCM(50338,50344) = 2534216272 / 2
LCM(50338,50344) = 1267108136

Least Common Multiple (LCM) of 50338 and 50344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50338 and 50344. First we will calculate the prime factors of 50338 and 50344.

Prime Factorization of 50338

Prime Factorization of 50344

Now multiplying the highest exponent prime factors to calculate the LCM of 50338 and 50344.

LCM(50338,50344) = 2³ × 25169¹ × 7¹ × 29¹ × 31¹
LCM(50338,50344) = 1267108136