What is the Least Common Multiple of 50250 and 50256?

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 50250 and 50256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50250 and 50256, than apply into the LCM equation.

GCF(50250,50256) = 6
LCM(50250,50256) = ( 50250 × 50256) / 6
LCM(50250,50256) = 2525364000 / 6
LCM(50250,50256) = 420894000

Least Common Multiple (LCM) of 50250 and 50256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50250 and 50256. First we will calculate the prime factors of 50250 and 50256.

Prime Factorization of 50250

Prime Factorization of 50256

Now multiplying the highest exponent prime factors to calculate the LCM of 50250 and 50256.

LCM(50250,50256) = 2⁴ × 3² × 5³ × 67¹ × 349¹
LCM(50250,50256) = 420894000