What is the Least Common Multiple of 22564 and 22569?

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 22564 and 22569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22564 and 22569, than apply into the LCM equation.

GCF(22564,22569) = 1
LCM(22564,22569) = ( 22564 × 22569) / 1
LCM(22564,22569) = 509246916 / 1
LCM(22564,22569) = 509246916

Least Common Multiple (LCM) of 22564 and 22569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22564 and 22569. First we will calculate the prime factors of 22564 and 22569.

Prime Factorization of 22564

Prime Factorization of 22569

Now multiplying the highest exponent prime factors to calculate the LCM of 22564 and 22569.

LCM(22564,22569) = 2² × 5641¹ × 3¹ × 7523¹
LCM(22564,22569) = 509246916