What is the Least Common Multiple of 12576 and 12585?

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 12585 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 12585, than apply into the LCM equation.

GCF(12576,12585) = 3
LCM(12576,12585) = ( 12576 × 12585) / 3
LCM(12576,12585) = 158268960 / 3
LCM(12576,12585) = 52756320

Least Common Multiple (LCM) of 12576 and 12585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12576 and 12585. First we will calculate the prime factors of 12576 and 12585.

Prime Factorization of 12576

Prime Factorization of 12585

Now multiplying the highest exponent prime factors to calculate the LCM of 12576 and 12585.

LCM(12576,12585) = 2⁵ × 3¹ × 131¹ × 5¹ × 839¹
LCM(12576,12585) = 52756320