What is the Least Common Multiple of 6804 and 6819?

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 6804 and 6819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6804 and 6819, than apply into the LCM equation.

GCF(6804,6819) = 3
LCM(6804,6819) = ( 6804 × 6819) / 3
LCM(6804,6819) = 46396476 / 3
LCM(6804,6819) = 15465492

Least Common Multiple (LCM) of 6804 and 6819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6804 and 6819. First we will calculate the prime factors of 6804 and 6819.

Prime Factorization of 6804

Prime Factorization of 6819

Now multiplying the highest exponent prime factors to calculate the LCM of 6804 and 6819.

LCM(6804,6819) = 2² × 3⁵ × 7¹ × 2273¹
LCM(6804,6819) = 15465492