Least Common Multiple of 13182 and 13189

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 13189 the smallest integer that is 173857398 that is divisible by both numbers.

Least Common Multiple (LCM) of 13182 and 13189 is 173857398.

LCM(13182,13189) = 173857398

LCM of 13182 and 13189

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

LCM of:
and

Least Common Multiple of 13182 and 13189

LCM of 13182 and 13189 is 173857398

Least common multiple can be found by multiplying the highest exponent prime factors of 13182 and 13189. First we will calculate the prime factors of 13182 and 13189.

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 13189


11 13189
11 1199
109 109
1

Prime factors of 13189 are 11,109. Prime factorization of 13189 in exponential form is:

13189 = 112×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 13182 and 13189.

LCM(13182,13189) = 21×31×112×133×1091
LCM(13182,13189) = 173857398

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 13189

List of positive integer factors of 13189 that divides 13189 without a remainder.

1, 11, 109, 121, 1199, 13189

Least Common Multiple of 13182 and 13189 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 13189, than apply into the LCM equation.

GCF(13182,13189) = 1
LCM(13182,13189) = ( 13182 × 13189) / 1
LCM(13182,13189) = 173857398 / 1
LCM(13182,13189) = 173857398

Properties of LCM 13182 and 13189

(i) The LCM of 13189 and 13182 is associative

LCM of 13182 and 13189 = LCM of 13189 and 13182

Related Least Common Multiples of 13182

Related Least Common Multiples of 13189

Frequently Asked Questions on LCM of 13182 and 13189

1. What is the LCM of 13182 and 13189?

Answer: LCM of 13182 and 13189 is 173857398.

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 13189?

Answer: Factors of 13189 are 1, 11, 109, 121, 1199, 13189. There are 6 integers that are factors of 13189. The greatest factor of 13189 is 13189.

4. How to Find the LCM of 13182 and 13189?

Answer:

Least Common Multiple of 13182 and 13189 = 173857398

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 13189

13189 = 11 x 11 x 109

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

LCM = 173857398 = 2 x 3 x 11 x 11 x 13 x 13 x 13 x 109

Step 4: Therefore, the least common multiple of 13182 and 13189 is 173857398.