Least Common Multiple of 10188 and 10191

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 10191 the smallest integer that is 34608636 that is divisible by both numbers.

Least Common Multiple (LCM) of 10188 and 10191 is 34608636.

LCM(10188,10191) = 34608636

LCM of 10188 and 10191

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

LCM of:
and

Least Common Multiple of 10188 and 10191

LCM of 10188 and 10191 is 34608636

Least common multiple can be found by multiplying the highest exponent prime factors of 10188 and 10191. First we will calculate the prime factors of 10188 and 10191.

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 10191


3 10191
43 3397
79 79
1

Prime factors of 10191 are 3, 43,79. Prime factorization of 10191 in exponential form is:

10191 = 31×431×791

Now multiplying the highest exponent prime factors to calculate the LCM of 10188 and 10191.

LCM(10188,10191) = 22×32×431×791×2831
LCM(10188,10191) = 34608636

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 10191

List of positive integer factors of 10191 that divides 10191 without a remainder.

1, 3, 43, 79, 129, 237, 3397, 10191

Least Common Multiple of 10188 and 10191 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 10191, than apply into the LCM equation.

GCF(10188,10191) = 3
LCM(10188,10191) = ( 10188 × 10191) / 3
LCM(10188,10191) = 103825908 / 3
LCM(10188,10191) = 34608636

Properties of LCM 10188 and 10191

(i) The LCM of 10191 and 10188 is associative

LCM of 10188 and 10191 = LCM of 10191 and 10188

Related Least Common Multiples of 10188

Related Least Common Multiples of 10191

Frequently Asked Questions on LCM of 10188 and 10191

1. What is the LCM of 10188 and 10191?

Answer: LCM of 10188 and 10191 is 34608636.

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 10191?

Answer: Factors of 10191 are 1, 3, 43, 79, 129, 237, 3397, 10191. There are 8 integers that are factors of 10191. The greatest factor of 10191 is 10191.

4. How to Find the LCM of 10188 and 10191?

Answer:

Least Common Multiple of 10188 and 10191 = 34608636

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 10191

10191 = 3 x 43 x 79

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

LCM = 34608636 = 2 x 2 x 3 x 3 x 43 x 79 x 283

Step 4: Therefore, the least common multiple of 10188 and 10191 is 34608636.