What is the Least Common Multiple of 50256 and 50264?

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 50264 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 50264, than apply into the LCM equation.

GCF(50256,50264) = 8
LCM(50256,50264) = ( 50256 × 50264) / 8
LCM(50256,50264) = 2526067584 / 8
LCM(50256,50264) = 315758448

Least Common Multiple (LCM) of 50256 and 50264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50256 and 50264. First we will calculate the prime factors of 50256 and 50264.

Prime Factorization of 50256

Prime Factorization of 50264

Now multiplying the highest exponent prime factors to calculate the LCM of 50256 and 50264.

LCM(50256,50264) = 2⁴ × 3² × 349¹ × 61¹ × 103¹
LCM(50256,50264) = 315758448