Least Common Multiple of 13393 and 13399
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 13399 the smallest integer that is 179452807 that is divisible by both numbers.
Least Common Multiple (LCM) of 13393 and 13399 is 179452807.
LCM(13393,13399) = 179452807
LCM of 13393 and 13399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13393 and 13399 by Prime method
- Least Common Multiple of 13393 and 13399 with GCF Formula
LCM of 13393 and 13399 is 179452807
Least common multiple can be found by multiplying the highest exponent prime factors of 13393 and 13399. First we will calculate the prime factors of 13393 and 13399.
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 13399
| 13399 | 13399 |
| 1 |
Prime factors of 13399 are 13399. Prime factorization of 13399 in exponential form is:
13399 = 133991
Now multiplying the highest exponent prime factors to calculate the LCM of 13393 and 13399.
LCM(13393,13399) = 591×2271×133991
LCM(13393,13399) = 179452807
Factors of 13393
List of positive integer factors of 13393 that divides 13393 without a remainder.
1, 59, 227, 13393
Factors of 13399
List of positive integer factors of 13399 that divides 13399 without a remainder.
1, 13399
Least Common Multiple of 13393 and 13399 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 13399, than apply into the LCM equation.
GCF(13393,13399) = 1
LCM(13393,13399) = ( 13393 × 13399) / 1
LCM(13393,13399) = 179452807 / 1
LCM(13393,13399) = 179452807
Properties of LCM 13393 and 13399
(i) The LCM of 13399 and 13393 is associative
LCM of 13393 and 13399 = LCM of 13399 and 13393
Related Least Common Multiples of 13393
Related Least Common Multiples of 13399
Frequently Asked Questions on LCM of 13393 and 13399
1. What is the LCM of 13393 and 13399?
Answer: LCM of 13393 and 13399 is 179452807.
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 13399?
Answer: Factors of 13399 are 1, 13399. There are 2 integers that are factors of 13399. The greatest factor of 13399 is 13399.
4. How to Find the LCM of 13393 and 13399?
Answer:
Least Common Multiple of 13393 and 13399 = 179452807
Step 1: Find the prime factorization of 13393
13393 = 59 x 227
Step 2: Find the prime factorization of 13399
13399 = 13399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 179452807 = 59 x 227 x 13399
Step 4: Therefore, the least common multiple of 13393 and 13399 is 179452807.