What is the Least Common Multiple of 28256 and 28264?

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 28264 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 28264, than apply into the LCM equation.

GCF(28256,28264) = 8
LCM(28256,28264) = ( 28256 × 28264) / 8
LCM(28256,28264) = 798627584 / 8
LCM(28256,28264) = 99828448

Least Common Multiple (LCM) of 28256 and 28264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28256 and 28264. First we will calculate the prime factors of 28256 and 28264.

Prime Factorization of 28256

Prime Factorization of 28264

Now multiplying the highest exponent prime factors to calculate the LCM of 28256 and 28264.

LCM(28256,28264) = 2⁵ × 883¹ × 3533¹
LCM(28256,28264) = 99828448