Least Common Multiple of 9188 and 9193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9188 and 9193 the smallest integer that is 84465284 that is divisible by both numbers.

Least Common Multiple (LCM) of 9188 and 9193 is 84465284.

LCM(9188,9193) = 84465284

LCM of 9188 and 9193

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9188 and 9193

LCM of 9188 and 9193 is 84465284

Least common multiple can be found by multiplying the highest exponent prime factors of 9188 and 9193. First we will calculate the prime factors of 9188 and 9193.

Prime Factorization of 9188


2 9188
2 4594
2297 2297
1

Prime factors of 9188 are 2,2297. Prime factorization of 9188 in exponential form is:

9188 = 22×22971

Prime Factorization of 9193


29 9193
317 317
1

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 9188 and 9193.

LCM(9188,9193) = 22×291×3171×22971
LCM(9188,9193) = 84465284

Factors of 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1, 2, 4, 2297, 4594, 9188

Factors of 9193

List of positive integer factors of 9193 that divides 9193 without a remainder.

1, 29, 317, 9193

Least Common Multiple of 9188 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 9188 and 9193, than apply into the LCM equation.

GCF(9188,9193) = 1
LCM(9188,9193) = ( 9188 × 9193) / 1
LCM(9188,9193) = 84465284 / 1
LCM(9188,9193) = 84465284

Properties of LCM 9188 and 9193

(i) The LCM of 9193 and 9188 is associative

LCM of 9188 and 9193 = LCM of 9193 and 9188

Related Least Common Multiples of 9188

Related Least Common Multiples of 9193

Frequently Asked Questions on LCM of 9188 and 9193

1. What is the LCM of 9188 and 9193?

Answer: LCM of 9188 and 9193 is 84465284.

2. What are the Factors of 9188?

Answer: Factors of 9188 are 1, 2, 4, 2297, 4594, 9188. There are 6 integers that are factors of 9188. The greatest factor of 9188 is 9188.

3. What are the Factors of 9193?

Answer: Factors of 9193 are 1, 29, 317, 9193. There are 4 integers that are factors of 9193. The greatest factor of 9193 is 9193.

4. How to Find the LCM of 9188 and 9193?

Answer:

Least Common Multiple of 9188 and 9193 = 84465284

Step 1: Find the prime factorization of 9188

9188 = 2 x 2 x 2297

Step 2: Find the prime factorization of 9193

9193 = 29 x 317

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 84465284 = 2 x 2 x 29 x 317 x 2297

Step 4: Therefore, the least common multiple of 9188 and 9193 is 84465284.