Least Common Multiple of 13369 and 13377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13369 and 13377 the smallest integer that is 178837113 that is divisible by both numbers.
Least Common Multiple (LCM) of 13369 and 13377 is 178837113.
LCM(13369,13377) = 178837113
LCM of 13369 and 13377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13369 and 13377 by Prime method
- Least Common Multiple of 13369 and 13377 with GCF Formula
LCM of 13369 and 13377 is 178837113
Least common multiple can be found by multiplying the highest exponent prime factors of 13369 and 13377. First we will calculate the prime factors of 13369 and 13377.
Prime Factorization of 13369
| 29 | 13369 |
| 461 | 461 |
| 1 |
Prime factors of 13369 are 29,461. Prime factorization of 13369 in exponential form is:
13369 = 291×4611
Prime Factorization of 13377
| 3 | 13377 |
| 7 | 4459 |
| 7 | 637 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 13377 are 3, 7,13. Prime factorization of 13377 in exponential form is:
13377 = 31×73×131
Now multiplying the highest exponent prime factors to calculate the LCM of 13369 and 13377.
LCM(13369,13377) = 31×73×131×291×4611
LCM(13369,13377) = 178837113
Factors of 13369
List of positive integer factors of 13369 that divides 13369 without a remainder.
1, 29, 461, 13369
Factors of 13377
List of positive integer factors of 13377 that divides 13377 without a remainder.
1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377
Least Common Multiple of 13369 and 13377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13369 and 13377, than apply into the LCM equation.
GCF(13369,13377) = 1
LCM(13369,13377) = ( 13369 × 13377) / 1
LCM(13369,13377) = 178837113 / 1
LCM(13369,13377) = 178837113
Properties of LCM 13369 and 13377
(i) The LCM of 13377 and 13369 is associative
LCM of 13369 and 13377 = LCM of 13377 and 13369
Related Least Common Multiples of 13369
Related Least Common Multiples of 13377
Frequently Asked Questions on LCM of 13369 and 13377
1. What is the LCM of 13369 and 13377?
Answer: LCM of 13369 and 13377 is 178837113.
2. What are the Factors of 13369?
Answer: Factors of 13369 are 1, 29, 461, 13369. There are 4 integers that are factors of 13369. The greatest factor of 13369 is 13369.
3. What are the Factors of 13377?
Answer: Factors of 13377 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377. There are 16 integers that are factors of 13377. The greatest factor of 13377 is 13377.
4. How to Find the LCM of 13369 and 13377?
Answer:
Least Common Multiple of 13369 and 13377 = 178837113
Step 1: Find the prime factorization of 13369
13369 = 29 x 461
Step 2: Find the prime factorization of 13377
13377 = 3 x 7 x 7 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 178837113 = 3 x 7 x 7 x 7 x 13 x 29 x 461
Step 4: Therefore, the least common multiple of 13369 and 13377 is 178837113.