What is the Least Common Multiple of 28608 and 28612?

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 28612 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 28612, than apply into the LCM equation.

GCF(28608,28612) = 4
LCM(28608,28612) = ( 28608 × 28612) / 4
LCM(28608,28612) = 818532096 / 4
LCM(28608,28612) = 204633024

Least Common Multiple (LCM) of 28608 and 28612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28608 and 28612. First we will calculate the prime factors of 28608 and 28612.

Prime Factorization of 28608

Prime Factorization of 28612

Now multiplying the highest exponent prime factors to calculate the LCM of 28608 and 28612.

LCM(28608,28612) = 2⁶ × 3¹ × 149¹ × 23¹ × 311¹
LCM(28608,28612) = 204633024