What is the Least Common Multiple of 36804 and 36819?

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 36804 and 36819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36804 and 36819, than apply into the LCM equation.

GCF(36804,36819) = 3
LCM(36804,36819) = ( 36804 × 36819) / 3
LCM(36804,36819) = 1355086476 / 3
LCM(36804,36819) = 451695492

Least Common Multiple (LCM) of 36804 and 36819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36804 and 36819. First we will calculate the prime factors of 36804 and 36819.

Prime Factorization of 36804

Prime Factorization of 36819

Now multiplying the highest exponent prime factors to calculate the LCM of 36804 and 36819.

LCM(36804,36819) = 2² × 3² × 3067¹ × 4091¹
LCM(36804,36819) = 451695492