What is the Least Common Multiple of 12804 and 12819?

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 12819 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 12819, than apply into the LCM equation.

GCF(12804,12819) = 3
LCM(12804,12819) = ( 12804 × 12819) / 3
LCM(12804,12819) = 164134476 / 3
LCM(12804,12819) = 54711492

Least Common Multiple (LCM) of 12804 and 12819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12804 and 12819. First we will calculate the prime factors of 12804 and 12819.

Prime Factorization of 12804

Prime Factorization of 12819

Now multiplying the highest exponent prime factors to calculate the LCM of 12804 and 12819.

LCM(12804,12819) = 2² × 3¹ × 11¹ × 97¹ × 4273¹
LCM(12804,12819) = 54711492