What is the Least Common Multiple of 50256 and 50268?

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 50268 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 50268, than apply into the LCM equation.

GCF(50256,50268) = 12
LCM(50256,50268) = ( 50256 × 50268) / 12
LCM(50256,50268) = 2526268608 / 12
LCM(50256,50268) = 210522384

Least Common Multiple (LCM) of 50256 and 50268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50256 and 50268. First we will calculate the prime factors of 50256 and 50268.

Prime Factorization of 50256

Prime Factorization of 50268

Now multiplying the highest exponent prime factors to calculate the LCM of 50256 and 50268.

LCM(50256,50268) = 2⁴ × 3² × 349¹ × 59¹ × 71¹
LCM(50256,50268) = 210522384