Least Common Multiple of 5889 and 5893
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5889 and 5893 the smallest integer that is 34703877 that is divisible by both numbers.
Least Common Multiple (LCM) of 5889 and 5893 is 34703877.
LCM(5889,5893) = 34703877
LCM of 5889 and 5893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5889 and 5893 by Prime method
- Least Common Multiple of 5889 and 5893 with GCF Formula
LCM of 5889 and 5893 is 34703877
Least common multiple can be found by multiplying the highest exponent prime factors of 5889 and 5893. First we will calculate the prime factors of 5889 and 5893.
Prime Factorization of 5889
| 3 | 5889 |
| 13 | 1963 |
| 151 | 151 |
| 1 |
Prime factors of 5889 are 3, 13,151. Prime factorization of 5889 in exponential form is:
5889 = 31×131×1511
Prime Factorization of 5893
| 71 | 5893 |
| 83 | 83 |
| 1 |
Prime factors of 5893 are 71,83. Prime factorization of 5893 in exponential form is:
5893 = 711×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5889 and 5893.
LCM(5889,5893) = 31×131×711×831×1511
LCM(5889,5893) = 34703877
Factors of 5889
List of positive integer factors of 5889 that divides 5889 without a remainder.
1, 3, 13, 39, 151, 453, 1963, 5889
Factors of 5893
List of positive integer factors of 5893 that divides 5893 without a remainder.
1, 71, 83, 5893
Least Common Multiple of 5889 and 5893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5889 and 5893, than apply into the LCM equation.
GCF(5889,5893) = 1
LCM(5889,5893) = ( 5889 × 5893) / 1
LCM(5889,5893) = 34703877 / 1
LCM(5889,5893) = 34703877
Properties of LCM 5889 and 5893
(i) The LCM of 5893 and 5889 is associative
LCM of 5889 and 5893 = LCM of 5893 and 5889
Related Least Common Multiples of 5889
Related Least Common Multiples of 5893
Frequently Asked Questions on LCM of 5889 and 5893
1. What is the LCM of 5889 and 5893?
Answer: LCM of 5889 and 5893 is 34703877.
2. What are the Factors of 5889?
Answer: Factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889. There are 8 integers that are factors of 5889. The greatest factor of 5889 is 5889.
3. What are the Factors of 5893?
Answer: Factors of 5893 are 1, 71, 83, 5893. There are 4 integers that are factors of 5893. The greatest factor of 5893 is 5893.
4. How to Find the LCM of 5889 and 5893?
Answer:
Least Common Multiple of 5889 and 5893 = 34703877
Step 1: Find the prime factorization of 5889
5889 = 3 x 13 x 151
Step 2: Find the prime factorization of 5893
5893 = 71 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34703877 = 3 x 13 x 71 x 83 x 151
Step 4: Therefore, the least common multiple of 5889 and 5893 is 34703877.