What is the Least Common Multiple of 28804 and 28819?

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 28804 and 28819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28804 and 28819, than apply into the LCM equation.

GCF(28804,28819) = 1
LCM(28804,28819) = ( 28804 × 28819) / 1
LCM(28804,28819) = 830102476 / 1
LCM(28804,28819) = 830102476

Least Common Multiple (LCM) of 28804 and 28819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28804 and 28819. First we will calculate the prime factors of 28804 and 28819.

Prime Factorization of 28804

Prime Factorization of 28819

Now multiplying the highest exponent prime factors to calculate the LCM of 28804 and 28819.

LCM(28804,28819) = 2² × 19¹ × 379¹ × 7¹ × 23¹ × 179¹
LCM(28804,28819) = 830102476