What is the Least Common Multiple of 28576 and 28582?

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 28576 and 28582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28576 and 28582, than apply into the LCM equation.

GCF(28576,28582) = 2
LCM(28576,28582) = ( 28576 × 28582) / 2
LCM(28576,28582) = 816759232 / 2
LCM(28576,28582) = 408379616

Least Common Multiple (LCM) of 28576 and 28582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28576 and 28582. First we will calculate the prime factors of 28576 and 28582.

Prime Factorization of 28576

Prime Factorization of 28582

Now multiplying the highest exponent prime factors to calculate the LCM of 28576 and 28582.

LCM(28576,28582) = 2⁵ × 19¹ × 47¹ × 31¹ × 461¹
LCM(28576,28582) = 408379616