What is the Least Common Multiple of 22566 and 22572?

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 22566 and 22572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22566 and 22572, than apply into the LCM equation.

GCF(22566,22572) = 6
LCM(22566,22572) = ( 22566 × 22572) / 6
LCM(22566,22572) = 509359752 / 6
LCM(22566,22572) = 84893292

Least Common Multiple (LCM) of 22566 and 22572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22566 and 22572. First we will calculate the prime factors of 22566 and 22572.

Prime Factorization of 22566

Prime Factorization of 22572

Now multiplying the highest exponent prime factors to calculate the LCM of 22566 and 22572.

LCM(22566,22572) = 2² × 3³ × 3761¹ × 11¹ × 19¹
LCM(22566,22572) = 84893292