Least Common Multiple of 5686 and 5691
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5686 and 5691 the smallest integer that is 32359026 that is divisible by both numbers.
Least Common Multiple (LCM) of 5686 and 5691 is 32359026.
LCM(5686,5691) = 32359026
LCM of 5686 and 5691
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5686 and 5691 by Prime method
- Least Common Multiple of 5686 and 5691 with GCF Formula
LCM of 5686 and 5691 is 32359026
Least common multiple can be found by multiplying the highest exponent prime factors of 5686 and 5691. First we will calculate the prime factors of 5686 and 5691.
Prime Factorization of 5686
| 2 | 5686 |
| 2843 | 2843 |
| 1 |
Prime factors of 5686 are 2,2843. Prime factorization of 5686 in exponential form is:
5686 = 21×28431
Prime Factorization of 5691
| 3 | 5691 |
| 7 | 1897 |
| 271 | 271 |
| 1 |
Prime factors of 5691 are 3, 7,271. Prime factorization of 5691 in exponential form is:
5691 = 31×71×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 5686 and 5691.
LCM(5686,5691) = 21×31×71×2711×28431
LCM(5686,5691) = 32359026
Factors of 5686
List of positive integer factors of 5686 that divides 5686 without a remainder.
1, 2, 2843, 5686
Factors of 5691
List of positive integer factors of 5691 that divides 5691 without a remainder.
1, 3, 7, 21, 271, 813, 1897, 5691
Least Common Multiple of 5686 and 5691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5686 and 5691, than apply into the LCM equation.
GCF(5686,5691) = 1
LCM(5686,5691) = ( 5686 × 5691) / 1
LCM(5686,5691) = 32359026 / 1
LCM(5686,5691) = 32359026
Properties of LCM 5686 and 5691
(i) The LCM of 5691 and 5686 is associative
LCM of 5686 and 5691 = LCM of 5691 and 5686
Related Least Common Multiples of 5686
Related Least Common Multiples of 5691
Frequently Asked Questions on LCM of 5686 and 5691
1. What is the LCM of 5686 and 5691?
Answer: LCM of 5686 and 5691 is 32359026.
2. What are the Factors of 5686?
Answer: Factors of 5686 are 1, 2, 2843, 5686. There are 4 integers that are factors of 5686. The greatest factor of 5686 is 5686.
3. What are the Factors of 5691?
Answer: Factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691. There are 8 integers that are factors of 5691. The greatest factor of 5691 is 5691.
4. How to Find the LCM of 5686 and 5691?
Answer:
Least Common Multiple of 5686 and 5691 = 32359026
Step 1: Find the prime factorization of 5686
5686 = 2 x 2843
Step 2: Find the prime factorization of 5691
5691 = 3 x 7 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32359026 = 2 x 3 x 7 x 271 x 2843
Step 4: Therefore, the least common multiple of 5686 and 5691 is 32359026.