What is the Least Common Multiple of 22589 and 22609?

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 22589 and 22609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22589 and 22609, than apply into the LCM equation.

GCF(22589,22609) = 1
LCM(22589,22609) = ( 22589 × 22609) / 1
LCM(22589,22609) = 510714701 / 1
LCM(22589,22609) = 510714701

Least Common Multiple (LCM) of 22589 and 22609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22589 and 22609. First we will calculate the prime factors of 22589 and 22609.

Prime Factorization of 22589

Prime Factorization of 22609

Now multiplying the highest exponent prime factors to calculate the LCM of 22589 and 22609.

LCM(22589,22609) = 7² × 461¹ × 23¹ × 983¹
LCM(22589,22609) = 510714701