What is the Least Common Multiple of 12591 and 12597?

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 12597 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 12597, than apply into the LCM equation.

GCF(12591,12597) = 3
LCM(12591,12597) = ( 12591 × 12597) / 3
LCM(12591,12597) = 158608827 / 3
LCM(12591,12597) = 52869609

Least Common Multiple (LCM) of 12591 and 12597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12591 and 12597. First we will calculate the prime factors of 12591 and 12597.

Prime Factorization of 12591

Prime Factorization of 12597

Now multiplying the highest exponent prime factors to calculate the LCM of 12591 and 12597.

LCM(12591,12597) = 3² × 1399¹ × 13¹ × 17¹ × 19¹
LCM(12591,12597) = 52869609