GCF and LCM Calculator Logo

What is the Least Common Multiple of 9871 and 9881?

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 9871 and 9881 is 97535351.

LCM(9871,9881) = 97535351

LCM Calculator and
and

Least Common Multiple of 9871 and 9881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9871 and 9881, than apply into the LCM equation.

GCF(9871,9881) = 1
LCM(9871,9881) = ( 9871 × 9881) / 1
LCM(9871,9881) = 97535351 / 1
LCM(9871,9881) = 97535351

Least Common Multiple (LCM) of 9871 and 9881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9871 and 9881. First we will calculate the prime factors of 9871 and 9881.

Prime Factorization of 9871

Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:

9871 = 98711

Prime Factorization of 9881

Prime factors of 9881 are 41, 241. Prime factorization of 9881 in exponential form is:

9881 = 411 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9871 and 9881.

LCM(9871,9881) = 98711 × 411 × 2411
LCM(9871,9881) = 97535351