What is the Least Common Multiple of 50408 and 50418?

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 50408 and 50418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50408 and 50418, than apply into the LCM equation.

GCF(50408,50418) = 2
LCM(50408,50418) = ( 50408 × 50418) / 2
LCM(50408,50418) = 2541470544 / 2
LCM(50408,50418) = 1270735272

Least Common Multiple (LCM) of 50408 and 50418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50408 and 50418. First we will calculate the prime factors of 50408 and 50418.

Prime Factorization of 50408

Prime Factorization of 50418

Now multiplying the highest exponent prime factors to calculate the LCM of 50408 and 50418.

LCM(50408,50418) = 2³ × 6301¹ × 3² × 2801¹
LCM(50408,50418) = 1270735272