What is the Least Common Multiple of 12576 and 12591?

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 12576 and 12591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12576 and 12591, than apply into the LCM equation.

GCF(12576,12591) = 3
LCM(12576,12591) = ( 12576 × 12591) / 3
LCM(12576,12591) = 158344416 / 3
LCM(12576,12591) = 52781472

Least Common Multiple (LCM) of 12576 and 12591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12576 and 12591. First we will calculate the prime factors of 12576 and 12591.

Prime Factorization of 12576

Prime Factorization of 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 12576 and 12591.

LCM(12576,12591) = 2⁵ × 3² × 131¹ × 1399¹
LCM(12576,12591) = 52781472