What is the Least Common Multiple of 22564 and 22577?

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 22577 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 22577, than apply into the LCM equation.

GCF(22564,22577) = 1
LCM(22564,22577) = ( 22564 × 22577) / 1
LCM(22564,22577) = 509427428 / 1
LCM(22564,22577) = 509427428

Least Common Multiple (LCM) of 22564 and 22577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22564 and 22577. First we will calculate the prime factors of 22564 and 22577.

Prime Factorization of 22564

Prime Factorization of 22577

Now multiplying the highest exponent prime factors to calculate the LCM of 22564 and 22577.

LCM(22564,22577) = 2² × 5641¹ × 107¹ × 211¹
LCM(22564,22577) = 509427428