GCF and LCM Calculator Logo

What is the Least Common Multiple of 9173 and 9193?

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 9173 and 9193 is 84327389.

LCM(9173,9193) = 84327389

LCM Calculator and
and

Least Common Multiple of 9173 and 9193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9173 and 9193, than apply into the LCM equation.

GCF(9173,9193) = 1
LCM(9173,9193) = ( 9173 × 9193) / 1
LCM(9173,9193) = 84327389 / 1
LCM(9173,9193) = 84327389

Least Common Multiple (LCM) of 9173 and 9193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9173 and 9193. First we will calculate the prime factors of 9173 and 9193.

Prime Factorization of 9173

Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:

9173 = 91731

Prime Factorization of 9193

Prime factors of 9193 are 29, 317. Prime factorization of 9193 in exponential form is:

9193 = 291 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9193.

LCM(9173,9193) = 91731 × 291 × 3171
LCM(9173,9193) = 84327389