What is the Least Common Multiple of 28256 and 28262?

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 28262 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 28262, than apply into the LCM equation.

GCF(28256,28262) = 2
LCM(28256,28262) = ( 28256 × 28262) / 2
LCM(28256,28262) = 798571072 / 2
LCM(28256,28262) = 399285536

Least Common Multiple (LCM) of 28256 and 28262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28256 and 28262. First we will calculate the prime factors of 28256 and 28262.

Prime Factorization of 28256

Prime Factorization of 28262

Now multiplying the highest exponent prime factors to calculate the LCM of 28256 and 28262.

LCM(28256,28262) = 2⁵ × 883¹ × 13¹ × 1087¹
LCM(28256,28262) = 399285536