Least Common Multiple of 10188 and 10193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10188 and 10193 the smallest integer that is 103846284 that is divisible by both numbers.

Least Common Multiple (LCM) of 10188 and 10193 is 103846284.

LCM(10188,10193) = 103846284

LCM of 10188 and 10193

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

LCM of:
and

Least Common Multiple of 10188 and 10193

LCM of 10188 and 10193 is 103846284

Least common multiple can be found by multiplying the highest exponent prime factors of 10188 and 10193. First we will calculate the prime factors of 10188 and 10193.

Prime Factorization of 10188


2 10188
2 5094
3 2547
3 849
283 283
1

Prime factors of 10188 are 2, 3,283. Prime factorization of 10188 in exponential form is:

10188 = 22×32×2831

Prime Factorization of 10193


10193 10193
1

Prime factors of 10193 are 10193. Prime factorization of 10193 in exponential form is:

10193 = 101931

Now multiplying the highest exponent prime factors to calculate the LCM of 10188 and 10193.

LCM(10188,10193) = 22×32×2831×101931
LCM(10188,10193) = 103846284

Factors of 10188

List of positive integer factors of 10188 that divides 10188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 10188

Factors of 10193

List of positive integer factors of 10193 that divides 10193 without a remainder.

1, 10193

Least Common Multiple of 10188 and 10193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10188 and 10193, than apply into the LCM equation.

GCF(10188,10193) = 1
LCM(10188,10193) = ( 10188 × 10193) / 1
LCM(10188,10193) = 103846284 / 1
LCM(10188,10193) = 103846284

Properties of LCM 10188 and 10193

(i) The LCM of 10193 and 10188 is associative

LCM of 10188 and 10193 = LCM of 10193 and 10188

Related Least Common Multiples of 10188

Related Least Common Multiples of 10193

Frequently Asked Questions on LCM of 10188 and 10193

1. What is the LCM of 10188 and 10193?

Answer: LCM of 10188 and 10193 is 103846284.

2. What are the Factors of 10188?

Answer: Factors of 10188 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 10188. There are 18 integers that are factors of 10188. The greatest factor of 10188 is 10188.

3. What are the Factors of 10193?

Answer: Factors of 10193 are 1, 10193. There are 2 integers that are factors of 10193. The greatest factor of 10193 is 10193.

4. How to Find the LCM of 10188 and 10193?

Answer:

Least Common Multiple of 10188 and 10193 = 103846284

Step 1: Find the prime factorization of 10188

10188 = 2 x 2 x 3 x 3 x 283

Step 2: Find the prime factorization of 10193

10193 = 10193

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

LCM = 103846284 = 2 x 2 x 3 x 3 x 283 x 10193

Step 4: Therefore, the least common multiple of 10188 and 10193 is 103846284.