What is the Least Common Multiple of 28384 and 28400?

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 28384 and 28400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28384 and 28400, than apply into the LCM equation.

GCF(28384,28400) = 16
LCM(28384,28400) = ( 28384 × 28400) / 16
LCM(28384,28400) = 806105600 / 16
LCM(28384,28400) = 50381600

Least Common Multiple (LCM) of 28384 and 28400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28384 and 28400. First we will calculate the prime factors of 28384 and 28400.

Prime Factorization of 28384

Prime Factorization of 28400

Now multiplying the highest exponent prime factors to calculate the LCM of 28384 and 28400.

LCM(28384,28400) = 2⁵ × 887¹ × 5² × 71¹
LCM(28384,28400) = 50381600