What is the Least Common Multiple of 50344 and 50358?

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 50344 and 50358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50344 and 50358, than apply into the LCM equation.

GCF(50344,50358) = 14
LCM(50344,50358) = ( 50344 × 50358) / 14
LCM(50344,50358) = 2535223152 / 14
LCM(50344,50358) = 181087368

Least Common Multiple (LCM) of 50344 and 50358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50344 and 50358. First we will calculate the prime factors of 50344 and 50358.

Prime Factorization of 50344

Prime Factorization of 50358

Now multiplying the highest exponent prime factors to calculate the LCM of 50344 and 50358.

LCM(50344,50358) = 2³ × 7¹ × 29¹ × 31¹ × 3¹ × 11¹ × 109¹
LCM(50344,50358) = 181087368