What is the Least Common Multiple of 12804 and 12822?

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 12822 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 12822, than apply into the LCM equation.

GCF(12804,12822) = 6
LCM(12804,12822) = ( 12804 × 12822) / 6
LCM(12804,12822) = 164172888 / 6
LCM(12804,12822) = 27362148

Least Common Multiple (LCM) of 12804 and 12822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12804 and 12822. First we will calculate the prime factors of 12804 and 12822.

Prime Factorization of 12804

Prime Factorization of 12822

Now multiplying the highest exponent prime factors to calculate the LCM of 12804 and 12822.

LCM(12804,12822) = 2² × 3¹ × 11¹ × 97¹ × 2137¹
LCM(12804,12822) = 27362148