What is the Least Common Multiple of 50304 and 50314?

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 50304 and 50314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50304 and 50314, than apply into the LCM equation.

GCF(50304,50314) = 2
LCM(50304,50314) = ( 50304 × 50314) / 2
LCM(50304,50314) = 2530995456 / 2
LCM(50304,50314) = 1265497728

Least Common Multiple (LCM) of 50304 and 50314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50304 and 50314. First we will calculate the prime factors of 50304 and 50314.

Prime Factorization of 50304

Prime Factorization of 50314

Now multiplying the highest exponent prime factors to calculate the LCM of 50304 and 50314.

LCM(50304,50314) = 2⁷ × 3¹ × 131¹ × 11¹ × 2287¹
LCM(50304,50314) = 1265497728