Least Common Multiple of 13165 and 13172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13165 and 13172 the smallest integer that is 173409380 that is divisible by both numbers.

Least Common Multiple (LCM) of 13165 and 13172 is 173409380.

LCM(13165,13172) = 173409380

LCM of 13165 and 13172

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

LCM of:
and

Least Common Multiple of 13165 and 13172

LCM of 13165 and 13172 is 173409380

Least common multiple can be found by multiplying the highest exponent prime factors of 13165 and 13172. First we will calculate the prime factors of 13165 and 13172.

Prime Factorization of 13165


5 13165
2633 2633
1

Prime factors of 13165 are 5,2633. Prime factorization of 13165 in exponential form is:

13165 = 51×26331

Prime Factorization of 13172


2 13172
2 6586
37 3293
89 89
1

Prime factors of 13172 are 2, 37,89. Prime factorization of 13172 in exponential form is:

13172 = 22×371×891

Now multiplying the highest exponent prime factors to calculate the LCM of 13165 and 13172.

LCM(13165,13172) = 22×51×371×891×26331
LCM(13165,13172) = 173409380

Factors of 13165

List of positive integer factors of 13165 that divides 13165 without a remainder.

1, 5, 2633, 13165

Factors of 13172

List of positive integer factors of 13172 that divides 13172 without a remainder.

1, 2, 4, 37, 74, 89, 148, 178, 356, 3293, 6586, 13172

Least Common Multiple of 13165 and 13172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13165 and 13172, than apply into the LCM equation.

GCF(13165,13172) = 1
LCM(13165,13172) = ( 13165 × 13172) / 1
LCM(13165,13172) = 173409380 / 1
LCM(13165,13172) = 173409380

Properties of LCM 13165 and 13172

(i) The LCM of 13172 and 13165 is associative

LCM of 13165 and 13172 = LCM of 13172 and 13165

Related Least Common Multiples of 13165

Related Least Common Multiples of 13172

Frequently Asked Questions on LCM of 13165 and 13172

1. What is the LCM of 13165 and 13172?

Answer: LCM of 13165 and 13172 is 173409380.

2. What are the Factors of 13165?

Answer: Factors of 13165 are 1, 5, 2633, 13165. There are 4 integers that are factors of 13165. The greatest factor of 13165 is 13165.

3. What are the Factors of 13172?

Answer: Factors of 13172 are 1, 2, 4, 37, 74, 89, 148, 178, 356, 3293, 6586, 13172. There are 12 integers that are factors of 13172. The greatest factor of 13172 is 13172.

4. How to Find the LCM of 13165 and 13172?

Answer:

Least Common Multiple of 13165 and 13172 = 173409380

Step 1: Find the prime factorization of 13165

13165 = 5 x 2633

Step 2: Find the prime factorization of 13172

13172 = 2 x 2 x 37 x 89

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

LCM = 173409380 = 2 x 2 x 5 x 37 x 89 x 2633

Step 4: Therefore, the least common multiple of 13165 and 13172 is 173409380.