What is the Least Common Multiple of 80804 and 80819?

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 80804 and 80819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80804 and 80819, than apply into the LCM equation.

GCF(80804,80819) = 1
LCM(80804,80819) = ( 80804 × 80819) / 1
LCM(80804,80819) = 6530498476 / 1
LCM(80804,80819) = 6530498476

Least Common Multiple (LCM) of 80804 and 80819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80804 and 80819. First we will calculate the prime factors of 80804 and 80819.

Prime Factorization of 80804

Prime Factorization of 80819

Now multiplying the highest exponent prime factors to calculate the LCM of 80804 and 80819.

LCM(80804,80819) = 2² × 20201¹ × 80819¹
LCM(80804,80819) = 6530498476