What is the Least Common Multiple of 12804 and 12810?

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 12804 and 12810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12804 and 12810, than apply into the LCM equation.

GCF(12804,12810) = 6
LCM(12804,12810) = ( 12804 × 12810) / 6
LCM(12804,12810) = 164019240 / 6
LCM(12804,12810) = 27336540

Least Common Multiple (LCM) of 12804 and 12810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12804 and 12810. First we will calculate the prime factors of 12804 and 12810.

Prime Factorization of 12804

Prime Factorization of 12810

Now multiplying the highest exponent prime factors to calculate the LCM of 12804 and 12810.

LCM(12804,12810) = 2² × 3¹ × 11¹ × 97¹ × 5¹ × 7¹ × 61¹
LCM(12804,12810) = 27336540