Least Common Multiple of 13167 and 13173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13167 and 13173 the smallest integer that is 57816297 that is divisible by both numbers.

Least Common Multiple (LCM) of 13167 and 13173 is 57816297.

LCM(13167,13173) = 57816297

LCM of 13167 and 13173

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

LCM of:
and

Least Common Multiple of 13167 and 13173

LCM of 13167 and 13173 is 57816297

Least common multiple can be found by multiplying the highest exponent prime factors of 13167 and 13173. First we will calculate the prime factors of 13167 and 13173.

Prime Factorization of 13167


3 13167
3 4389
7 1463
11 209
19 19
1

Prime factors of 13167 are 3, 7, 11,19. Prime factorization of 13167 in exponential form is:

13167 = 32×71×111×191

Prime Factorization of 13173


3 13173
4391 4391
1

Prime factors of 13173 are 3,4391. Prime factorization of 13173 in exponential form is:

13173 = 31×43911

Now multiplying the highest exponent prime factors to calculate the LCM of 13167 and 13173.

LCM(13167,13173) = 32×71×111×191×43911
LCM(13167,13173) = 57816297

Factors of 13167

List of positive integer factors of 13167 that divides 13167 without a remainder.

1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167

Factors of 13173

List of positive integer factors of 13173 that divides 13173 without a remainder.

1, 3, 4391, 13173

Least Common Multiple of 13167 and 13173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13167 and 13173, than apply into the LCM equation.

GCF(13167,13173) = 3
LCM(13167,13173) = ( 13167 × 13173) / 3
LCM(13167,13173) = 173448891 / 3
LCM(13167,13173) = 57816297

Properties of LCM 13167 and 13173

(i) The LCM of 13173 and 13167 is associative

LCM of 13167 and 13173 = LCM of 13173 and 13167

Related Least Common Multiples of 13167

Related Least Common Multiples of 13173

Frequently Asked Questions on LCM of 13167 and 13173

1. What is the LCM of 13167 and 13173?

Answer: LCM of 13167 and 13173 is 57816297.

2. What are the Factors of 13167?

Answer: Factors of 13167 are 1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167. There are 24 integers that are factors of 13167. The greatest factor of 13167 is 13167.

3. What are the Factors of 13173?

Answer: Factors of 13173 are 1, 3, 4391, 13173. There are 4 integers that are factors of 13173. The greatest factor of 13173 is 13173.

4. How to Find the LCM of 13167 and 13173?

Answer:

Least Common Multiple of 13167 and 13173 = 57816297

Step 1: Find the prime factorization of 13167

13167 = 3 x 3 x 7 x 11 x 19

Step 2: Find the prime factorization of 13173

13173 = 3 x 4391

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

LCM = 57816297 = 3 x 3 x 7 x 11 x 19 x 4391

Step 4: Therefore, the least common multiple of 13167 and 13173 is 57816297.