GCF and LCM Calculator Logo

What is the Least Common Multiple of 9899 and 9911?

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 (LCM) of 9899 and 9911 is 98108989.

LCM(9899,9911) = 98108989

LCM Calculator and
and

Least Common Multiple of 9899 and 9911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9899 and 9911, than apply into the LCM equation.

GCF(9899,9911) = 1
LCM(9899,9911) = ( 9899 × 9911) / 1
LCM(9899,9911) = 98108989 / 1
LCM(9899,9911) = 98108989

Least Common Multiple (LCM) of 9899 and 9911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9899 and 9911. First we will calculate the prime factors of 9899 and 9911.

Prime Factorization of 9899

Prime factors of 9899 are 19, 521. Prime factorization of 9899 in exponential form is:

9899 = 191 × 5211

Prime Factorization of 9911

Prime factors of 9911 are 11, 17, 53. Prime factorization of 9911 in exponential form is:

9911 = 111 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9899 and 9911.

LCM(9899,9911) = 191 × 5211 × 111 × 171 × 531
LCM(9899,9911) = 98108989