What is the Least Common Multiple of 28566 and 28572?

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 28566 and 28572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28566 and 28572, than apply into the LCM equation.

GCF(28566,28572) = 6
LCM(28566,28572) = ( 28566 × 28572) / 6
LCM(28566,28572) = 816187752 / 6
LCM(28566,28572) = 136031292

Least Common Multiple (LCM) of 28566 and 28572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28566 and 28572. First we will calculate the prime factors of 28566 and 28572.

Prime Factorization of 28566

Prime Factorization of 28572

Now multiplying the highest exponent prime factors to calculate the LCM of 28566 and 28572.

LCM(28566,28572) = 2² × 3³ × 23² × 2381¹
LCM(28566,28572) = 136031292