What is the Least Common Multiple of 12250 and 12256?

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 12250 and 12256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12250 and 12256, than apply into the LCM equation.

GCF(12250,12256) = 2
LCM(12250,12256) = ( 12250 × 12256) / 2
LCM(12250,12256) = 150136000 / 2
LCM(12250,12256) = 75068000

Least Common Multiple (LCM) of 12250 and 12256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12250 and 12256. First we will calculate the prime factors of 12250 and 12256.

Prime Factorization of 12250

Prime Factorization of 12256

Now multiplying the highest exponent prime factors to calculate the LCM of 12250 and 12256.

LCM(12250,12256) = 2⁵ × 5³ × 7² × 383¹
LCM(12250,12256) = 75068000