What is the Least Common Multiple of 28548 and 28566?

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 28548 and 28566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28548 and 28566, than apply into the LCM equation.

GCF(28548,28566) = 18
LCM(28548,28566) = ( 28548 × 28566) / 18
LCM(28548,28566) = 815502168 / 18
LCM(28548,28566) = 45305676

Least Common Multiple (LCM) of 28548 and 28566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28548 and 28566. First we will calculate the prime factors of 28548 and 28566.

Prime Factorization of 28548

Prime Factorization of 28566

Now multiplying the highest exponent prime factors to calculate the LCM of 28548 and 28566.

LCM(28548,28566) = 2² × 3³ × 13¹ × 61¹ × 23²
LCM(28548,28566) = 45305676