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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 (LCM) of 9871 and 9889 is 97614319.

LCM(9871,9889) = 97614319

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

9871 = 98711

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 9871 and 9889.

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