What is the Least Common Multiple of 12576 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 12576 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 12576 and 12582, than apply into the LCM equation.

GCF(12576,12582) = 6
LCM(12576,12582) = ( 12576 × 12582) / 6
LCM(12576,12582) = 158231232 / 6
LCM(12576,12582) = 26371872

Least Common Multiple (LCM) of 12576 and 12582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12576 and 12582. First we will calculate the prime factors of 12576 and 12582.

Prime Factorization of 12576

Prime Factorization of 12582

Now multiplying the highest exponent prime factors to calculate the LCM of 12576 and 12582.

LCM(12576,12582) = 2⁵ × 3³ × 131¹ × 233¹
LCM(12576,12582) = 26371872