What is the Least Common Multiple of 6591 and 6597?

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 6591 and 6597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6591 and 6597, than apply into the LCM equation.

GCF(6591,6597) = 3
LCM(6591,6597) = ( 6591 × 6597) / 3
LCM(6591,6597) = 43480827 / 3
LCM(6591,6597) = 14493609

Least Common Multiple (LCM) of 6591 and 6597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6591 and 6597. First we will calculate the prime factors of 6591 and 6597.

Prime Factorization of 6591

Prime Factorization of 6597

Now multiplying the highest exponent prime factors to calculate the LCM of 6591 and 6597.

LCM(6591,6597) = 3² × 13³ × 733¹
LCM(6591,6597) = 14493609