Least Common Multiple of 13393 and 13397
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13393 and 13397 the smallest integer that is 179426021 that is divisible by both numbers.
Least Common Multiple (LCM) of 13393 and 13397 is 179426021.
LCM(13393,13397) = 179426021
LCM of 13393 and 13397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13393 and 13397 by Prime method
- Least Common Multiple of 13393 and 13397 with GCF Formula
LCM of 13393 and 13397 is 179426021
Least common multiple can be found by multiplying the highest exponent prime factors of 13393 and 13397. First we will calculate the prime factors of 13393 and 13397.
Prime Factorization of 13393
| 59 | 13393 |
| 227 | 227 |
| 1 |
Prime factors of 13393 are 59,227. Prime factorization of 13393 in exponential form is:
13393 = 591×2271
Prime Factorization of 13397
| 13397 | 13397 |
| 1 |
Prime factors of 13397 are 13397. Prime factorization of 13397 in exponential form is:
13397 = 133971
Now multiplying the highest exponent prime factors to calculate the LCM of 13393 and 13397.
LCM(13393,13397) = 591×2271×133971
LCM(13393,13397) = 179426021
Factors of 13393
List of positive integer factors of 13393 that divides 13393 without a remainder.
1, 59, 227, 13393
Factors of 13397
List of positive integer factors of 13397 that divides 13397 without a remainder.
1, 13397
Least Common Multiple of 13393 and 13397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13393 and 13397, than apply into the LCM equation.
GCF(13393,13397) = 1
LCM(13393,13397) = ( 13393 × 13397) / 1
LCM(13393,13397) = 179426021 / 1
LCM(13393,13397) = 179426021
Properties of LCM 13393 and 13397
(i) The LCM of 13397 and 13393 is associative
LCM of 13393 and 13397 = LCM of 13397 and 13393
Related Least Common Multiples of 13393
Related Least Common Multiples of 13397
Frequently Asked Questions on LCM of 13393 and 13397
1. What is the LCM of 13393 and 13397?
Answer: LCM of 13393 and 13397 is 179426021.
2. What are the Factors of 13393?
Answer: Factors of 13393 are 1, 59, 227, 13393. There are 4 integers that are factors of 13393. The greatest factor of 13393 is 13393.
3. What are the Factors of 13397?
Answer: Factors of 13397 are 1, 13397. There are 2 integers that are factors of 13397. The greatest factor of 13397 is 13397.
4. How to Find the LCM of 13393 and 13397?
Answer:
Least Common Multiple of 13393 and 13397 = 179426021
Step 1: Find the prime factorization of 13393
13393 = 59 x 227
Step 2: Find the prime factorization of 13397
13397 = 13397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 179426021 = 59 x 227 x 13397
Step 4: Therefore, the least common multiple of 13393 and 13397 is 179426021.