What is the Least Common Multiple of 50256 and 50261?

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 50261 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 50261, than apply into the LCM equation.

GCF(50256,50261) = 1
LCM(50256,50261) = ( 50256 × 50261) / 1
LCM(50256,50261) = 2525916816 / 1
LCM(50256,50261) = 2525916816

Least Common Multiple (LCM) of 50256 and 50261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50256 and 50261. First we will calculate the prime factors of 50256 and 50261.

Prime Factorization of 50256

Prime Factorization of 50261

Now multiplying the highest exponent prime factors to calculate the LCM of 50256 and 50261.

LCM(50256,50261) = 2⁴ × 3² × 349¹ × 50261¹
LCM(50256,50261) = 2525916816