Least Common Multiple of 5317 and 5321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5317 and 5321 the smallest integer that is 28291757 that is divisible by both numbers.
Least Common Multiple (LCM) of 5317 and 5321 is 28291757.
LCM(5317,5321) = 28291757
LCM of 5317 and 5321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5317 and 5321 by Prime method
- Least Common Multiple of 5317 and 5321 with GCF Formula
LCM of 5317 and 5321 is 28291757
Least common multiple can be found by multiplying the highest exponent prime factors of 5317 and 5321. First we will calculate the prime factors of 5317 and 5321.
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
Prime Factorization of 5321
| 17 | 5321 |
| 313 | 313 |
| 1 |
Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:
5321 = 171×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 5317 and 5321.
LCM(5317,5321) = 131×171×3131×4091
LCM(5317,5321) = 28291757
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1, 13, 409, 5317
Factors of 5321
List of positive integer factors of 5321 that divides 5321 without a remainder.
1, 17, 313, 5321
Least Common Multiple of 5317 and 5321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5317 and 5321, than apply into the LCM equation.
GCF(5317,5321) = 1
LCM(5317,5321) = ( 5317 × 5321) / 1
LCM(5317,5321) = 28291757 / 1
LCM(5317,5321) = 28291757
Properties of LCM 5317 and 5321
(i) The LCM of 5321 and 5317 is associative
LCM of 5317 and 5321 = LCM of 5321 and 5317
Related Least Common Multiples of 5317
Related Least Common Multiples of 5321
Frequently Asked Questions on LCM of 5317 and 5321
1. What is the LCM of 5317 and 5321?
Answer: LCM of 5317 and 5321 is 28291757.
2. 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.
3. What are the Factors of 5321?
Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.
4. How to Find the LCM of 5317 and 5321?
Answer:
Least Common Multiple of 5317 and 5321 = 28291757
Step 1: Find the prime factorization of 5317
5317 = 13 x 409
Step 2: Find the prime factorization of 5321
5321 = 17 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28291757 = 13 x 17 x 313 x 409
Step 4: Therefore, the least common multiple of 5317 and 5321 is 28291757.