Least Common Multiple of 10188 and 10194

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 10194 the smallest integer that is 17309412 that is divisible by both numbers.

Least Common Multiple (LCM) of 10188 and 10194 is 17309412.

LCM(10188,10194) = 17309412

LCM of 10188 and 10194

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

LCM of:
and

Least Common Multiple of 10188 and 10194

LCM of 10188 and 10194 is 17309412

Least common multiple can be found by multiplying the highest exponent prime factors of 10188 and 10194. First we will calculate the prime factors of 10188 and 10194.

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 10194


2 10194
3 5097
1699 1699
1

Prime factors of 10194 are 2, 3,1699. Prime factorization of 10194 in exponential form is:

10194 = 21×31×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 10188 and 10194.

LCM(10188,10194) = 22×32×2831×16991
LCM(10188,10194) = 17309412

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 10194

List of positive integer factors of 10194 that divides 10194 without a remainder.

1, 2, 3, 6, 1699, 3398, 5097, 10194

Least Common Multiple of 10188 and 10194 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 10194, than apply into the LCM equation.

GCF(10188,10194) = 6
LCM(10188,10194) = ( 10188 × 10194) / 6
LCM(10188,10194) = 103856472 / 6
LCM(10188,10194) = 17309412

Properties of LCM 10188 and 10194

(i) The LCM of 10194 and 10188 is associative

LCM of 10188 and 10194 = LCM of 10194 and 10188

Related Least Common Multiples of 10188

Related Least Common Multiples of 10194

Frequently Asked Questions on LCM of 10188 and 10194

1. What is the LCM of 10188 and 10194?

Answer: LCM of 10188 and 10194 is 17309412.

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 10194?

Answer: Factors of 10194 are 1, 2, 3, 6, 1699, 3398, 5097, 10194. There are 8 integers that are factors of 10194. The greatest factor of 10194 is 10194.

4. How to Find the LCM of 10188 and 10194?

Answer:

Least Common Multiple of 10188 and 10194 = 17309412

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 10194

10194 = 2 x 3 x 1699

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

LCM = 17309412 = 2 x 2 x 3 x 3 x 283 x 1699

Step 4: Therefore, the least common multiple of 10188 and 10194 is 17309412.