What is the Least Common Multiple of 28608 and 28617?

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 28617 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 28617, than apply into the LCM equation.

GCF(28608,28617) = 3
LCM(28608,28617) = ( 28608 × 28617) / 3
LCM(28608,28617) = 818675136 / 3
LCM(28608,28617) = 272891712

Least Common Multiple (LCM) of 28608 and 28617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28608 and 28617. First we will calculate the prime factors of 28608 and 28617.

Prime Factorization of 28608

Prime Factorization of 28617

Now multiplying the highest exponent prime factors to calculate the LCM of 28608 and 28617.

LCM(28608,28617) = 2⁶ × 3¹ × 149¹ × 9539¹
LCM(28608,28617) = 272891712