What is the Least Common Multiple of 28256 and 28274?

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 28256 and 28274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28256 and 28274, than apply into the LCM equation.

GCF(28256,28274) = 2
LCM(28256,28274) = ( 28256 × 28274) / 2
LCM(28256,28274) = 798910144 / 2
LCM(28256,28274) = 399455072

Least Common Multiple (LCM) of 28256 and 28274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28256 and 28274. First we will calculate the prime factors of 28256 and 28274.

Prime Factorization of 28256

Prime Factorization of 28274

Now multiplying the highest exponent prime factors to calculate the LCM of 28256 and 28274.

LCM(28256,28274) = 2⁵ × 883¹ × 67¹ × 211¹
LCM(28256,28274) = 399455072