Least Common Multiple of 5691 and 5698
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5691 and 5698 the smallest integer that is 4632474 that is divisible by both numbers.
Least Common Multiple (LCM) of 5691 and 5698 is 4632474.
LCM(5691,5698) = 4632474
LCM of 5691 and 5698
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5691 and 5698 by Prime method
- Least Common Multiple of 5691 and 5698 with GCF Formula
LCM of 5691 and 5698 is 4632474
Least common multiple can be found by multiplying the highest exponent prime factors of 5691 and 5698. First we will calculate the prime factors of 5691 and 5698.
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
Prime Factorization of 5698
| 2 | 5698 |
| 7 | 2849 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 5698 are 2, 7, 11,37. Prime factorization of 5698 in exponential form is:
5698 = 21×71×111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 5691 and 5698.
LCM(5691,5698) = 21×31×71×111×371×2711
LCM(5691,5698) = 4632474
Factors of 5691
List of positive integer factors of 5691 that divides 5691 without a remainder.
1, 3, 7, 21, 271, 813, 1897, 5691
Factors of 5698
List of positive integer factors of 5698 that divides 5698 without a remainder.
1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
Least Common Multiple of 5691 and 5698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5691 and 5698, than apply into the LCM equation.
GCF(5691,5698) = 7
LCM(5691,5698) = ( 5691 × 5698) / 7
LCM(5691,5698) = 32427318 / 7
LCM(5691,5698) = 4632474
Properties of LCM 5691 and 5698
(i) The LCM of 5698 and 5691 is associative
LCM of 5691 and 5698 = LCM of 5698 and 5691
Related Least Common Multiples of 5691
Related Least Common Multiples of 5698
Frequently Asked Questions on LCM of 5691 and 5698
1. What is the LCM of 5691 and 5698?
Answer: LCM of 5691 and 5698 is 4632474.
2. 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.
3. What are the Factors of 5698?
Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.
4. How to Find the LCM of 5691 and 5698?
Answer:
Least Common Multiple of 5691 and 5698 = 4632474
Step 1: Find the prime factorization of 5691
5691 = 3 x 7 x 271
Step 2: Find the prime factorization of 5698
5698 = 2 x 7 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4632474 = 2 x 3 x 7 x 11 x 37 x 271
Step 4: Therefore, the least common multiple of 5691 and 5698 is 4632474.