What is the Least Common Multiple of 12591 and 12609?

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 12591 and 12609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12591 and 12609, than apply into the LCM equation.

GCF(12591,12609) = 9
LCM(12591,12609) = ( 12591 × 12609) / 9
LCM(12591,12609) = 158759919 / 9
LCM(12591,12609) = 17639991

Least Common Multiple (LCM) of 12591 and 12609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12591 and 12609. First we will calculate the prime factors of 12591 and 12609.

Prime Factorization of 12591

Prime Factorization of 12609

Now multiplying the highest exponent prime factors to calculate the LCM of 12591 and 12609.

LCM(12591,12609) = 3³ × 1399¹ × 467¹
LCM(12591,12609) = 17639991