Least Common Multiple of 5831 and 5838
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5831 and 5838 the smallest integer that is 4863054 that is divisible by both numbers.
Least Common Multiple (LCM) of 5831 and 5838 is 4863054.
LCM(5831,5838) = 4863054
LCM of 5831 and 5838
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5831 and 5838 by Prime method
- Least Common Multiple of 5831 and 5838 with GCF Formula
LCM of 5831 and 5838 is 4863054
Least common multiple can be found by multiplying the highest exponent prime factors of 5831 and 5838. First we will calculate the prime factors of 5831 and 5838.
Prime Factorization of 5831
| 7 | 5831 |
| 7 | 833 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 5831 are 7,17. Prime factorization of 5831 in exponential form is:
5831 = 73×171
Prime Factorization of 5838
| 2 | 5838 |
| 3 | 2919 |
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 5838 are 2, 3, 7,139. Prime factorization of 5838 in exponential form is:
5838 = 21×31×71×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 5831 and 5838.
LCM(5831,5838) = 21×31×73×171×1391
LCM(5831,5838) = 4863054
Factors of 5831
List of positive integer factors of 5831 that divides 5831 without a remainder.
1, 7, 17, 49, 119, 343, 833, 5831
Factors of 5838
List of positive integer factors of 5838 that divides 5838 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
Least Common Multiple of 5831 and 5838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5831 and 5838, than apply into the LCM equation.
GCF(5831,5838) = 7
LCM(5831,5838) = ( 5831 × 5838) / 7
LCM(5831,5838) = 34041378 / 7
LCM(5831,5838) = 4863054
Properties of LCM 5831 and 5838
(i) The LCM of 5838 and 5831 is associative
LCM of 5831 and 5838 = LCM of 5838 and 5831
Related Least Common Multiples of 5831
Related Least Common Multiples of 5838
Frequently Asked Questions on LCM of 5831 and 5838
1. What is the LCM of 5831 and 5838?
Answer: LCM of 5831 and 5838 is 4863054.
2. What are the Factors of 5831?
Answer: Factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831. There are 8 integers that are factors of 5831. The greatest factor of 5831 is 5831.
3. What are the Factors of 5838?
Answer: Factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838. There are 16 integers that are factors of 5838. The greatest factor of 5838 is 5838.
4. How to Find the LCM of 5831 and 5838?
Answer:
Least Common Multiple of 5831 and 5838 = 4863054
Step 1: Find the prime factorization of 5831
5831 = 7 x 7 x 7 x 17
Step 2: Find the prime factorization of 5838
5838 = 2 x 3 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4863054 = 2 x 3 x 7 x 7 x 7 x 17 x 139
Step 4: Therefore, the least common multiple of 5831 and 5838 is 4863054.