GCF and LCM Calculator Logo

What is the Least Common Multiple of 12582 and 12599?

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 (LCM) of 12582 and 12599 is 158520618.

LCM(12582,12599) = 158520618

LCM Calculator and
and

Least Common Multiple of 12582 and 12599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12582 and 12599, than apply into the LCM equation.

GCF(12582,12599) = 1
LCM(12582,12599) = ( 12582 × 12599) / 1
LCM(12582,12599) = 158520618 / 1
LCM(12582,12599) = 158520618

Least Common Multiple (LCM) of 12582 and 12599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12582 and 12599. First we will calculate the prime factors of 12582 and 12599.

Prime Factorization of 12582

Prime factors of 12582 are 2, 3, 233. Prime factorization of 12582 in exponential form is:

12582 = 21 × 33 × 2331

Prime Factorization of 12599

Prime factors of 12599 are 43, 293. Prime factorization of 12599 in exponential form is:

12599 = 431 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 12582 and 12599.

LCM(12582,12599) = 21 × 33 × 2331 × 431 × 2931
LCM(12582,12599) = 158520618