What is the Least Common Multiple of 12864 and 12870?

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 12864 and 12870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12864 and 12870, than apply into the LCM equation.

GCF(12864,12870) = 6
LCM(12864,12870) = ( 12864 × 12870) / 6
LCM(12864,12870) = 165559680 / 6
LCM(12864,12870) = 27593280

Least Common Multiple (LCM) of 12864 and 12870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12864 and 12870. First we will calculate the prime factors of 12864 and 12870.

Prime Factorization of 12864

Prime Factorization of 12870

Now multiplying the highest exponent prime factors to calculate the LCM of 12864 and 12870.

LCM(12864,12870) = 2⁶ × 3² × 67¹ × 5¹ × 11¹ × 13¹
LCM(12864,12870) = 27593280