Least Common Multiple of 13377 and 13385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13377 and 13385 the smallest integer that is 179051145 that is divisible by both numbers.
Least Common Multiple (LCM) of 13377 and 13385 is 179051145.
LCM(13377,13385) = 179051145
LCM of 13377 and 13385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13377 and 13385 by Prime method
- Least Common Multiple of 13377 and 13385 with GCF Formula
LCM of 13377 and 13385 is 179051145
Least common multiple can be found by multiplying the highest exponent prime factors of 13377 and 13385. First we will calculate the prime factors of 13377 and 13385.
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
Prime Factorization of 13385
| 5 | 13385 |
| 2677 | 2677 |
| 1 |
Prime factors of 13385 are 5,2677. Prime factorization of 13385 in exponential form is:
13385 = 51×26771
Now multiplying the highest exponent prime factors to calculate the LCM of 13377 and 13385.
LCM(13377,13385) = 31×51×73×131×26771
LCM(13377,13385) = 179051145
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
Factors of 13385
List of positive integer factors of 13385 that divides 13385 without a remainder.
1, 5, 2677, 13385
Least Common Multiple of 13377 and 13385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13377 and 13385, than apply into the LCM equation.
GCF(13377,13385) = 1
LCM(13377,13385) = ( 13377 × 13385) / 1
LCM(13377,13385) = 179051145 / 1
LCM(13377,13385) = 179051145
Properties of LCM 13377 and 13385
(i) The LCM of 13385 and 13377 is associative
LCM of 13377 and 13385 = LCM of 13385 and 13377
Related Least Common Multiples of 13377
Related Least Common Multiples of 13385
Frequently Asked Questions on LCM of 13377 and 13385
1. What is the LCM of 13377 and 13385?
Answer: LCM of 13377 and 13385 is 179051145.
2. 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.
3. What are the Factors of 13385?
Answer: Factors of 13385 are 1, 5, 2677, 13385. There are 4 integers that are factors of 13385. The greatest factor of 13385 is 13385.
4. How to Find the LCM of 13377 and 13385?
Answer:
Least Common Multiple of 13377 and 13385 = 179051145
Step 1: Find the prime factorization of 13377
13377 = 3 x 7 x 7 x 7 x 13
Step 2: Find the prime factorization of 13385
13385 = 5 x 2677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 179051145 = 3 x 5 x 7 x 7 x 7 x 13 x 2677
Step 4: Therefore, the least common multiple of 13377 and 13385 is 179051145.