GCF and LCM Calculator Logo

What is the Least Common Multiple of 93839 and 93856?

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 93839 and 93856 is 8807353184.

LCM(93839,93856) = 8807353184

LCM Calculator and
and

Least Common Multiple of 93839 and 93856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93839 and 93856, than apply into the LCM equation.

GCF(93839,93856) = 1
LCM(93839,93856) = ( 93839 × 93856) / 1
LCM(93839,93856) = 8807353184 / 1
LCM(93839,93856) = 8807353184

Least Common Multiple (LCM) of 93839 and 93856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93839 and 93856. First we will calculate the prime factors of 93839 and 93856.

Prime Factorization of 93839

Prime factors of 93839 are 107, 877. Prime factorization of 93839 in exponential form is:

93839 = 1071 × 8771

Prime Factorization of 93856

Prime factors of 93856 are 2, 7, 419. Prime factorization of 93856 in exponential form is:

93856 = 25 × 71 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 93839 and 93856.

LCM(93839,93856) = 1071 × 8771 × 25 × 71 × 4191
LCM(93839,93856) = 8807353184