What is the Least Common Multiple of 33804 and 33819?

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 33804 and 33819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33804 and 33819, than apply into the LCM equation.

GCF(33804,33819) = 3
LCM(33804,33819) = ( 33804 × 33819) / 3
LCM(33804,33819) = 1143217476 / 3
LCM(33804,33819) = 381072492

Least Common Multiple (LCM) of 33804 and 33819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33804 and 33819. First we will calculate the prime factors of 33804 and 33819.

Prime Factorization of 33804

Prime Factorization of 33819

Now multiplying the highest exponent prime factors to calculate the LCM of 33804 and 33819.

LCM(33804,33819) = 2² × 3³ × 313¹ × 11273¹
LCM(33804,33819) = 381072492