Least Common Multiple of 10182 and 10188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10182 and 10188 the smallest integer that is 17289036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10182 and 10188 is 17289036.

LCM(10182,10188) = 17289036

LCM of 10182 and 10188

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

LCM of:
and

Least Common Multiple of 10182 and 10188

LCM of 10182 and 10188 is 17289036

Least common multiple can be found by multiplying the highest exponent prime factors of 10182 and 10188. First we will calculate the prime factors of 10182 and 10188.

Prime Factorization of 10182


2 10182
3 5091
1697 1697
1

Prime factors of 10182 are 2, 3,1697. Prime factorization of 10182 in exponential form is:

10182 = 21×31×16971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10182 and 10188.

LCM(10182,10188) = 22×32×2831×16971
LCM(10182,10188) = 17289036

Factors of 10182

List of positive integer factors of 10182 that divides 10182 without a remainder.

1, 2, 3, 6, 1697, 3394, 5091, 10182

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

Least Common Multiple of 10182 and 10188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10182 and 10188, than apply into the LCM equation.

GCF(10182,10188) = 6
LCM(10182,10188) = ( 10182 × 10188) / 6
LCM(10182,10188) = 103734216 / 6
LCM(10182,10188) = 17289036

Properties of LCM 10182 and 10188

(i) The LCM of 10188 and 10182 is associative

LCM of 10182 and 10188 = LCM of 10188 and 10182

Related Least Common Multiples of 10182

Related Least Common Multiples of 10188

Frequently Asked Questions on LCM of 10182 and 10188

1. What is the LCM of 10182 and 10188?

Answer: LCM of 10182 and 10188 is 17289036.

2. What are the Factors of 10182?

Answer: Factors of 10182 are 1, 2, 3, 6, 1697, 3394, 5091, 10182. There are 8 integers that are factors of 10182. The greatest factor of 10182 is 10182.

3. 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.

4. How to Find the LCM of 10182 and 10188?

Answer:

Least Common Multiple of 10182 and 10188 = 17289036

Step 1: Find the prime factorization of 10182

10182 = 2 x 3 x 1697

Step 2: Find the prime factorization of 10188

10188 = 2 x 2 x 3 x 3 x 283

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

LCM = 17289036 = 2 x 2 x 3 x 3 x 283 x 1697

Step 4: Therefore, the least common multiple of 10182 and 10188 is 17289036.