What is the Least Common Multiple of 12789 and 12804?

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 12789 and 12804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12789 and 12804, than apply into the LCM equation.

GCF(12789,12804) = 3
LCM(12789,12804) = ( 12789 × 12804) / 3
LCM(12789,12804) = 163750356 / 3
LCM(12789,12804) = 54583452

Least Common Multiple (LCM) of 12789 and 12804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12789 and 12804. First we will calculate the prime factors of 12789 and 12804.

Prime Factorization of 12789

Prime Factorization of 12804

Now multiplying the highest exponent prime factors to calculate the LCM of 12789 and 12804.

LCM(12789,12804) = 3² × 7² × 29¹ × 2² × 11¹ × 97¹
LCM(12789,12804) = 54583452