What is the Least Common Multiple of 12584 and 12588?

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 12584 and 12588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12584 and 12588, than apply into the LCM equation.

GCF(12584,12588) = 4
LCM(12584,12588) = ( 12584 × 12588) / 4
LCM(12584,12588) = 158407392 / 4
LCM(12584,12588) = 39601848

Least Common Multiple (LCM) of 12584 and 12588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12584 and 12588. First we will calculate the prime factors of 12584 and 12588.

Prime Factorization of 12584

Prime Factorization of 12588

Now multiplying the highest exponent prime factors to calculate the LCM of 12584 and 12588.

LCM(12584,12588) = 2³ × 11² × 13¹ × 3¹ × 1049¹
LCM(12584,12588) = 39601848