What is the Least Common Multiple of 9871 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 of 9871 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 9871 and 9889, than apply into the LCM equation.

GCF(9871,9889) = 1
LCM(9871,9889) = ( 9871 × 9889) / 1
LCM(9871,9889) = 97614319 / 1
LCM(9871,9889) = 97614319

Least Common Multiple (LCM) of 9871 and 9889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9871 and 9889. First we will calculate the prime factors of 9871 and 9889.

Prime Factorization of 9871

Prime Factorization of 9889

Now multiplying the highest exponent prime factors to calculate the LCM of 9871 and 9889.

LCM(9871,9889) = 9871¹ × 11¹ × 29¹ × 31¹
LCM(9871,9889) = 97614319