GCF and LCM Calculator Logo

What is the Least Common Multiple of 9873 and 9889?

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 9873 and 9889 is 97634097.

LCM(9873,9889) = 97634097

LCM Calculator and
and

Least Common Multiple of 9873 and 9889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9873 and 9889, than apply into the LCM equation.

GCF(9873,9889) = 1
LCM(9873,9889) = ( 9873 × 9889) / 1
LCM(9873,9889) = 97634097 / 1
LCM(9873,9889) = 97634097

Least Common Multiple (LCM) of 9873 and 9889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9873 and 9889. First we will calculate the prime factors of 9873 and 9889.

Prime Factorization of 9873

Prime factors of 9873 are 3, 1097. Prime factorization of 9873 in exponential form is:

9873 = 32 × 10971

Prime Factorization of 9889

Prime factors of 9889 are 11, 29, 31. Prime factorization of 9889 in exponential form is:

9889 = 111 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 9873 and 9889.

LCM(9873,9889) = 32 × 10971 × 111 × 291 × 311
LCM(9873,9889) = 97634097