What is the Least Common Multiple of 99807 and 99819?

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 99807 and 99819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99807 and 99819, than apply into the LCM equation.

GCF(99807,99819) = 3
LCM(99807,99819) = ( 99807 × 99819) / 3
LCM(99807,99819) = 9962634933 / 3
LCM(99807,99819) = 3320878311

Least Common Multiple (LCM) of 99807 and 99819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99807 and 99819. First we will calculate the prime factors of 99807 and 99819.

Prime Factorization of 99807

Prime Factorization of 99819

Now multiplying the highest exponent prime factors to calculate the LCM of 99807 and 99819.

LCM(99807,99819) = 3³ × 17¹ × 19¹ × 103¹ × 3697¹
LCM(99807,99819) = 3320878311