Least Common Multiple of 5313 and 5317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5313 and 5317 the smallest integer that is 28249221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5313 and 5317 is 28249221.
LCM(5313,5317) = 28249221
LCM of 5313 and 5317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5313 and 5317 by Prime method
- Least Common Multiple of 5313 and 5317 with GCF Formula
LCM of 5313 and 5317 is 28249221
Least common multiple can be found by multiplying the highest exponent prime factors of 5313 and 5317. First we will calculate the prime factors of 5313 and 5317.
Prime Factorization of 5313
| 3 | 5313 |
| 7 | 1771 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 5313 are 3, 7, 11,23. Prime factorization of 5313 in exponential form is:
5313 = 31×71×111×231
Prime Factorization of 5317
| 13 | 5317 |
| 409 | 409 |
| 1 |
Prime factors of 5317 are 13,409. Prime factorization of 5317 in exponential form is:
5317 = 131×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 5313 and 5317.
LCM(5313,5317) = 31×71×111×131×231×4091
LCM(5313,5317) = 28249221
Factors of 5313
List of positive integer factors of 5313 that divides 5313 without a remainder.
1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1, 13, 409, 5317
Least Common Multiple of 5313 and 5317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5313 and 5317, than apply into the LCM equation.
GCF(5313,5317) = 1
LCM(5313,5317) = ( 5313 × 5317) / 1
LCM(5313,5317) = 28249221 / 1
LCM(5313,5317) = 28249221
Properties of LCM 5313 and 5317
(i) The LCM of 5317 and 5313 is associative
LCM of 5313 and 5317 = LCM of 5317 and 5313
Related Least Common Multiples of 5313
Related Least Common Multiples of 5317
Frequently Asked Questions on LCM of 5313 and 5317
1. What is the LCM of 5313 and 5317?
Answer: LCM of 5313 and 5317 is 28249221.
2. What are the Factors of 5313?
Answer: Factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313. There are 16 integers that are factors of 5313. The greatest factor of 5313 is 5313.
3. What are the Factors of 5317?
Answer: Factors of 5317 are 1, 13, 409, 5317. There are 4 integers that are factors of 5317. The greatest factor of 5317 is 5317.
4. How to Find the LCM of 5313 and 5317?
Answer:
Least Common Multiple of 5313 and 5317 = 28249221
Step 1: Find the prime factorization of 5313
5313 = 3 x 7 x 11 x 23
Step 2: Find the prime factorization of 5317
5317 = 13 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28249221 = 3 x 7 x 11 x 13 x 23 x 409
Step 4: Therefore, the least common multiple of 5313 and 5317 is 28249221.