Least Common Multiple of 10188 and 10192

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 10192 the smallest integer that is 25959024 that is divisible by both numbers.

Least Common Multiple (LCM) of 10188 and 10192 is 25959024.

LCM(10188,10192) = 25959024

LCM of 10188 and 10192

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

LCM of:
and

Least Common Multiple of 10188 and 10192

LCM of 10188 and 10192 is 25959024

Least common multiple can be found by multiplying the highest exponent prime factors of 10188 and 10192. First we will calculate the prime factors of 10188 and 10192.

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 10192


2 10192
2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 10192 are 2, 7,13. Prime factorization of 10192 in exponential form is:

10192 = 24×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 10188 and 10192.

LCM(10188,10192) = 24×32×72×131×2831
LCM(10188,10192) = 25959024

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 10192

List of positive integer factors of 10192 that divides 10192 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 364, 392, 637, 728, 784, 1274, 1456, 2548, 5096, 10192

Least Common Multiple of 10188 and 10192 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 10192, than apply into the LCM equation.

GCF(10188,10192) = 4
LCM(10188,10192) = ( 10188 × 10192) / 4
LCM(10188,10192) = 103836096 / 4
LCM(10188,10192) = 25959024

Properties of LCM 10188 and 10192

(i) The LCM of 10192 and 10188 is associative

LCM of 10188 and 10192 = LCM of 10192 and 10188

Related Least Common Multiples of 10188

Related Least Common Multiples of 10192

Frequently Asked Questions on LCM of 10188 and 10192

1. What is the LCM of 10188 and 10192?

Answer: LCM of 10188 and 10192 is 25959024.

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 10192?

Answer: Factors of 10192 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 364, 392, 637, 728, 784, 1274, 1456, 2548, 5096, 10192. There are 30 integers that are factors of 10192. The greatest factor of 10192 is 10192.

4. How to Find the LCM of 10188 and 10192?

Answer:

Least Common Multiple of 10188 and 10192 = 25959024

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 10192

10192 = 2 x 2 x 2 x 2 x 7 x 7 x 13

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

LCM = 25959024 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 283

Step 4: Therefore, the least common multiple of 10188 and 10192 is 25959024.