Least Common Multiple of 13165 and 13169
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 13169 the smallest integer that is 173369885 that is divisible by both numbers.
Least Common Multiple (LCM) of 13165 and 13169 is 173369885.
LCM(13165,13169) = 173369885
LCM of 13165 and 13169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13165 and 13169 by Prime method
- Least Common Multiple of 13165 and 13169 with GCF Formula
LCM of 13165 and 13169 is 173369885
Least common multiple can be found by multiplying the highest exponent prime factors of 13165 and 13169. First we will calculate the prime factors of 13165 and 13169.
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 13169
| 13 | 13169 |
| 1013 | 1013 |
| 1 |
Prime factors of 13169 are 13,1013. Prime factorization of 13169 in exponential form is:
13169 = 131×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 13165 and 13169.
LCM(13165,13169) = 51×131×10131×26331
LCM(13165,13169) = 173369885
Factors of 13165
List of positive integer factors of 13165 that divides 13165 without a remainder.
1, 5, 2633, 13165
Factors of 13169
List of positive integer factors of 13169 that divides 13169 without a remainder.
1, 13, 1013, 13169
Least Common Multiple of 13165 and 13169 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 13169, than apply into the LCM equation.
GCF(13165,13169) = 1
LCM(13165,13169) = ( 13165 × 13169) / 1
LCM(13165,13169) = 173369885 / 1
LCM(13165,13169) = 173369885
Properties of LCM 13165 and 13169
(i) The LCM of 13169 and 13165 is associative
LCM of 13165 and 13169 = LCM of 13169 and 13165
Related Least Common Multiples of 13165
Related Least Common Multiples of 13169
Frequently Asked Questions on LCM of 13165 and 13169
1. What is the LCM of 13165 and 13169?
Answer: LCM of 13165 and 13169 is 173369885.
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 13169?
Answer: Factors of 13169 are 1, 13, 1013, 13169. There are 4 integers that are factors of 13169. The greatest factor of 13169 is 13169.
4. How to Find the LCM of 13165 and 13169?
Answer:
Least Common Multiple of 13165 and 13169 = 173369885
Step 1: Find the prime factorization of 13165
13165 = 5 x 2633
Step 2: Find the prime factorization of 13169
13169 = 13 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 173369885 = 5 x 13 x 1013 x 2633
Step 4: Therefore, the least common multiple of 13165 and 13169 is 173369885.