What is the Least Common Multiple of 8589 and 8609?

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 8589 and 8609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8589 and 8609, than apply into the LCM equation.

GCF(8589,8609) = 1
LCM(8589,8609) = ( 8589 × 8609) / 1
LCM(8589,8609) = 73942701 / 1
LCM(8589,8609) = 73942701

Least Common Multiple (LCM) of 8589 and 8609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8589 and 8609. First we will calculate the prime factors of 8589 and 8609.

Prime Factorization of 8589

Prime Factorization of 8609

Now multiplying the highest exponent prime factors to calculate the LCM of 8589 and 8609.

LCM(8589,8609) = 3¹ × 7¹ × 409¹ × 8609¹
LCM(8589,8609) = 73942701