Least Common Multiple of 5709 and 5713
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5709 and 5713 the smallest integer that is 32615517 that is divisible by both numbers.
Least Common Multiple (LCM) of 5709 and 5713 is 32615517.
LCM(5709,5713) = 32615517
LCM of 5709 and 5713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5709 and 5713 by Prime method
- Least Common Multiple of 5709 and 5713 with GCF Formula
LCM of 5709 and 5713 is 32615517
Least common multiple can be found by multiplying the highest exponent prime factors of 5709 and 5713. First we will calculate the prime factors of 5709 and 5713.
Prime Factorization of 5709
| 3 | 5709 |
| 11 | 1903 |
| 173 | 173 |
| 1 |
Prime factors of 5709 are 3, 11,173. Prime factorization of 5709 in exponential form is:
5709 = 31×111×1731
Prime Factorization of 5713
| 29 | 5713 |
| 197 | 197 |
| 1 |
Prime factors of 5713 are 29,197. Prime factorization of 5713 in exponential form is:
5713 = 291×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 5709 and 5713.
LCM(5709,5713) = 31×111×291×1731×1971
LCM(5709,5713) = 32615517
Factors of 5709
List of positive integer factors of 5709 that divides 5709 without a remainder.
1, 3, 11, 33, 173, 519, 1903, 5709
Factors of 5713
List of positive integer factors of 5713 that divides 5713 without a remainder.
1, 29, 197, 5713
Least Common Multiple of 5709 and 5713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5709 and 5713, than apply into the LCM equation.
GCF(5709,5713) = 1
LCM(5709,5713) = ( 5709 × 5713) / 1
LCM(5709,5713) = 32615517 / 1
LCM(5709,5713) = 32615517
Properties of LCM 5709 and 5713
(i) The LCM of 5713 and 5709 is associative
LCM of 5709 and 5713 = LCM of 5713 and 5709
Related Least Common Multiples of 5709
Related Least Common Multiples of 5713
Frequently Asked Questions on LCM of 5709 and 5713
1. What is the LCM of 5709 and 5713?
Answer: LCM of 5709 and 5713 is 32615517.
2. What are the Factors of 5709?
Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.
3. What are the Factors of 5713?
Answer: Factors of 5713 are 1, 29, 197, 5713. There are 4 integers that are factors of 5713. The greatest factor of 5713 is 5713.
4. How to Find the LCM of 5709 and 5713?
Answer:
Least Common Multiple of 5709 and 5713 = 32615517
Step 1: Find the prime factorization of 5709
5709 = 3 x 11 x 173
Step 2: Find the prime factorization of 5713
5713 = 29 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32615517 = 3 x 11 x 29 x 173 x 197
Step 4: Therefore, the least common multiple of 5709 and 5713 is 32615517.