What is the Least Common Multiple of 28608 and 28625?

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 28608 and 28625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28608 and 28625, than apply into the LCM equation.

GCF(28608,28625) = 1
LCM(28608,28625) = ( 28608 × 28625) / 1
LCM(28608,28625) = 818904000 / 1
LCM(28608,28625) = 818904000

Least Common Multiple (LCM) of 28608 and 28625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28608 and 28625. First we will calculate the prime factors of 28608 and 28625.

Prime Factorization of 28608

Prime Factorization of 28625

Now multiplying the highest exponent prime factors to calculate the LCM of 28608 and 28625.

LCM(28608,28625) = 2⁶ × 3¹ × 149¹ × 5³ × 229¹
LCM(28608,28625) = 818904000