What is the Least Common Multiple of 50256 and 50272?

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 50256 and 50272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50256 and 50272, than apply into the LCM equation.

GCF(50256,50272) = 16
LCM(50256,50272) = ( 50256 × 50272) / 16
LCM(50256,50272) = 2526469632 / 16
LCM(50256,50272) = 157904352

Least Common Multiple (LCM) of 50256 and 50272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50256 and 50272. First we will calculate the prime factors of 50256 and 50272.

Prime Factorization of 50256

Prime Factorization of 50272

Now multiplying the highest exponent prime factors to calculate the LCM of 50256 and 50272.

LCM(50256,50272) = 2⁵ × 3² × 349¹ × 1571¹
LCM(50256,50272) = 157904352