What is the Least Common Multiple of 28250 and 28256?

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 28250 and 28256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28250 and 28256, than apply into the LCM equation.

GCF(28250,28256) = 2
LCM(28250,28256) = ( 28250 × 28256) / 2
LCM(28250,28256) = 798232000 / 2
LCM(28250,28256) = 399116000

Least Common Multiple (LCM) of 28250 and 28256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28250 and 28256. First we will calculate the prime factors of 28250 and 28256.

Prime Factorization of 28250

Prime Factorization of 28256

Now multiplying the highest exponent prime factors to calculate the LCM of 28250 and 28256.

LCM(28250,28256) = 2⁵ × 5³ × 113¹ × 883¹
LCM(28250,28256) = 399116000