Least Common Multiple of 5681 and 5689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5681 and 5689 the smallest integer that is 32319209 that is divisible by both numbers.
Least Common Multiple (LCM) of 5681 and 5689 is 32319209.
LCM(5681,5689) = 32319209
LCM of 5681 and 5689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5681 and 5689 by Prime method
- Least Common Multiple of 5681 and 5689 with GCF Formula
LCM of 5681 and 5689 is 32319209
Least common multiple can be found by multiplying the highest exponent prime factors of 5681 and 5689. First we will calculate the prime factors of 5681 and 5689.
Prime Factorization of 5681
| 13 | 5681 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 5681 are 13, 19,23. Prime factorization of 5681 in exponential form is:
5681 = 131×191×231
Prime Factorization of 5689
| 5689 | 5689 |
| 1 |
Prime factors of 5689 are 5689. Prime factorization of 5689 in exponential form is:
5689 = 56891
Now multiplying the highest exponent prime factors to calculate the LCM of 5681 and 5689.
LCM(5681,5689) = 131×191×231×56891
LCM(5681,5689) = 32319209
Factors of 5681
List of positive integer factors of 5681 that divides 5681 without a remainder.
1, 13, 19, 23, 247, 299, 437, 5681
Factors of 5689
List of positive integer factors of 5689 that divides 5689 without a remainder.
1, 5689
Least Common Multiple of 5681 and 5689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5681 and 5689, than apply into the LCM equation.
GCF(5681,5689) = 1
LCM(5681,5689) = ( 5681 × 5689) / 1
LCM(5681,5689) = 32319209 / 1
LCM(5681,5689) = 32319209
Properties of LCM 5681 and 5689
(i) The LCM of 5689 and 5681 is associative
LCM of 5681 and 5689 = LCM of 5689 and 5681
Related Least Common Multiples of 5681
Related Least Common Multiples of 5689
Frequently Asked Questions on LCM of 5681 and 5689
1. What is the LCM of 5681 and 5689?
Answer: LCM of 5681 and 5689 is 32319209.
2. What are the Factors of 5681?
Answer: Factors of 5681 are 1, 13, 19, 23, 247, 299, 437, 5681. There are 8 integers that are factors of 5681. The greatest factor of 5681 is 5681.
3. What are the Factors of 5689?
Answer: Factors of 5689 are 1, 5689. There are 2 integers that are factors of 5689. The greatest factor of 5689 is 5689.
4. How to Find the LCM of 5681 and 5689?
Answer:
Least Common Multiple of 5681 and 5689 = 32319209
Step 1: Find the prime factorization of 5681
5681 = 13 x 19 x 23
Step 2: Find the prime factorization of 5689
5689 = 5689
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32319209 = 13 x 19 x 23 x 5689
Step 4: Therefore, the least common multiple of 5681 and 5689 is 32319209.