What is the Least Common Multiple of 93881 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 of 93881 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 93881 and 93889, than apply into the LCM equation.

GCF(93881,93889) = 1
LCM(93881,93889) = ( 93881 × 93889) / 1
LCM(93881,93889) = 8814393209 / 1
LCM(93881,93889) = 8814393209

Least Common Multiple (LCM) of 93881 and 93889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93881 and 93889. First we will calculate the prime factors of 93881 and 93889.

Prime Factorization of 93881

Prime Factorization of 93889

Now multiplying the highest exponent prime factors to calculate the LCM of 93881 and 93889.

LCM(93881,93889) = 269¹ × 349¹ × 93889¹
LCM(93881,93889) = 8814393209