What is the Least Common Multiple of 12568 and 12582?

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 12568 and 12582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12568 and 12582, than apply into the LCM equation.

GCF(12568,12582) = 2
LCM(12568,12582) = ( 12568 × 12582) / 2
LCM(12568,12582) = 158130576 / 2
LCM(12568,12582) = 79065288

Least Common Multiple (LCM) of 12568 and 12582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12568 and 12582. First we will calculate the prime factors of 12568 and 12582.

Prime Factorization of 12568

Prime Factorization of 12582

Now multiplying the highest exponent prime factors to calculate the LCM of 12568 and 12582.

LCM(12568,12582) = 2³ × 1571¹ × 3³ × 233¹
LCM(12568,12582) = 79065288