Least Common Multiple of 13182 and 13187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13182 and 13187 the smallest integer that is 173831034 that is divisible by both numbers.

Least Common Multiple (LCM) of 13182 and 13187 is 173831034.

LCM(13182,13187) = 173831034

LCM of 13182 and 13187

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

LCM of:
and

Least Common Multiple of 13182 and 13187

LCM of 13182 and 13187 is 173831034

Least common multiple can be found by multiplying the highest exponent prime factors of 13182 and 13187. First we will calculate the prime factors of 13182 and 13187.

Prime Factorization of 13182


2 13182
3 6591
13 2197
13 169
13 13
1

Prime factors of 13182 are 2, 3,13. Prime factorization of 13182 in exponential form is:

13182 = 21×31×133

Prime Factorization of 13187


13187 13187
1

Prime factors of 13187 are 13187. Prime factorization of 13187 in exponential form is:

13187 = 131871

Now multiplying the highest exponent prime factors to calculate the LCM of 13182 and 13187.

LCM(13182,13187) = 21×31×133×131871
LCM(13182,13187) = 173831034

Factors of 13182

List of positive integer factors of 13182 that divides 13182 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591, 13182

Factors of 13187

List of positive integer factors of 13187 that divides 13187 without a remainder.

1, 13187

Least Common Multiple of 13182 and 13187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13182 and 13187, than apply into the LCM equation.

GCF(13182,13187) = 1
LCM(13182,13187) = ( 13182 × 13187) / 1
LCM(13182,13187) = 173831034 / 1
LCM(13182,13187) = 173831034

Properties of LCM 13182 and 13187

(i) The LCM of 13187 and 13182 is associative

LCM of 13182 and 13187 = LCM of 13187 and 13182

Related Least Common Multiples of 13182

Related Least Common Multiples of 13187

Frequently Asked Questions on LCM of 13182 and 13187

1. What is the LCM of 13182 and 13187?

Answer: LCM of 13182 and 13187 is 173831034.

2. What are the Factors of 13182?

Answer: Factors of 13182 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591, 13182. There are 16 integers that are factors of 13182. The greatest factor of 13182 is 13182.

3. What are the Factors of 13187?

Answer: Factors of 13187 are 1, 13187. There are 2 integers that are factors of 13187. The greatest factor of 13187 is 13187.

4. How to Find the LCM of 13182 and 13187?

Answer:

Least Common Multiple of 13182 and 13187 = 173831034

Step 1: Find the prime factorization of 13182

13182 = 2 x 3 x 13 x 13 x 13

Step 2: Find the prime factorization of 13187

13187 = 13187

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

LCM = 173831034 = 2 x 3 x 13 x 13 x 13 x 13187

Step 4: Therefore, the least common multiple of 13182 and 13187 is 173831034.