GCF and LCM Calculator Logo

What is the Least Common Multiple of 9389 and 9400?

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 9389 and 9400 is 88256600.

LCM(9389,9400) = 88256600

LCM Calculator and
and

Least Common Multiple of 9389 and 9400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9389 and 9400, than apply into the LCM equation.

GCF(9389,9400) = 1
LCM(9389,9400) = ( 9389 × 9400) / 1
LCM(9389,9400) = 88256600 / 1
LCM(9389,9400) = 88256600

Least Common Multiple (LCM) of 9389 and 9400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9389 and 9400. First we will calculate the prime factors of 9389 and 9400.

Prime Factorization of 9389

Prime factors of 9389 are 41, 229. Prime factorization of 9389 in exponential form is:

9389 = 411 × 2291

Prime Factorization of 9400

Prime factors of 9400 are 2, 5, 47. Prime factorization of 9400 in exponential form is:

9400 = 23 × 52 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 9389 and 9400.

LCM(9389,9400) = 411 × 2291 × 23 × 52 × 471
LCM(9389,9400) = 88256600