GCF and LCM Calculator Logo

What is the Least Common Multiple of 93871 and 93889?

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 93871 and 93889 is 8813454319.

LCM(93871,93889) = 8813454319

LCM Calculator and
and

Least Common Multiple of 93871 and 93889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93871 and 93889, than apply into the LCM equation.

GCF(93871,93889) = 1
LCM(93871,93889) = ( 93871 × 93889) / 1
LCM(93871,93889) = 8813454319 / 1
LCM(93871,93889) = 8813454319

Least Common Multiple (LCM) of 93871 and 93889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93871 and 93889. First we will calculate the prime factors of 93871 and 93889.

Prime Factorization of 93871

Prime factors of 93871 are 93871. Prime factorization of 93871 in exponential form is:

93871 = 938711

Prime Factorization of 93889

Prime factors of 93889 are 93889. Prime factorization of 93889 in exponential form is:

93889 = 938891

Now multiplying the highest exponent prime factors to calculate the LCM of 93871 and 93889.

LCM(93871,93889) = 938711 × 938891
LCM(93871,93889) = 8813454319