What is the Least Common Multiple of 22572 and 22581?

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 22572 and 22581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22572 and 22581, than apply into the LCM equation.

GCF(22572,22581) = 9
LCM(22572,22581) = ( 22572 × 22581) / 9
LCM(22572,22581) = 509698332 / 9
LCM(22572,22581) = 56633148

Least Common Multiple (LCM) of 22572 and 22581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22572 and 22581. First we will calculate the prime factors of 22572 and 22581.

Prime Factorization of 22572

Prime Factorization of 22581

Now multiplying the highest exponent prime factors to calculate the LCM of 22572 and 22581.

LCM(22572,22581) = 2² × 3³ × 11¹ × 19¹ × 13¹ × 193¹
LCM(22572,22581) = 56633148