What is the Least Common Multiple of 9804 and 9819?

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 9804 and 9819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9804 and 9819, than apply into the LCM equation.

GCF(9804,9819) = 3
LCM(9804,9819) = ( 9804 × 9819) / 3
LCM(9804,9819) = 96265476 / 3
LCM(9804,9819) = 32088492

Least Common Multiple (LCM) of 9804 and 9819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9819. First we will calculate the prime factors of 9804 and 9819.

Prime Factorization of 9804

Prime Factorization of 9819

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9819.

LCM(9804,9819) = 2² × 3² × 19¹ × 43¹ × 1091¹
LCM(9804,9819) = 32088492