Least Common Multiple of 5889 and 5897
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 5897 the smallest integer that is 34727433 that is divisible by both numbers.
Least Common Multiple (LCM) of 5889 and 5897 is 34727433.
LCM(5889,5897) = 34727433
LCM of 5889 and 5897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5889 and 5897 by Prime method
- Least Common Multiple of 5889 and 5897 with GCF Formula
LCM of 5889 and 5897 is 34727433
Least common multiple can be found by multiplying the highest exponent prime factors of 5889 and 5897. First we will calculate the prime factors of 5889 and 5897.
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 5897
| 5897 | 5897 |
| 1 |
Prime factors of 5897 are 5897. Prime factorization of 5897 in exponential form is:
5897 = 58971
Now multiplying the highest exponent prime factors to calculate the LCM of 5889 and 5897.
LCM(5889,5897) = 31×131×1511×58971
LCM(5889,5897) = 34727433
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 5897
List of positive integer factors of 5897 that divides 5897 without a remainder.
1, 5897
Least Common Multiple of 5889 and 5897 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 5897, than apply into the LCM equation.
GCF(5889,5897) = 1
LCM(5889,5897) = ( 5889 × 5897) / 1
LCM(5889,5897) = 34727433 / 1
LCM(5889,5897) = 34727433
Properties of LCM 5889 and 5897
(i) The LCM of 5897 and 5889 is associative
LCM of 5889 and 5897 = LCM of 5897 and 5889
Related Least Common Multiples of 5889
Related Least Common Multiples of 5897
Frequently Asked Questions on LCM of 5889 and 5897
1. What is the LCM of 5889 and 5897?
Answer: LCM of 5889 and 5897 is 34727433.
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 5897?
Answer: Factors of 5897 are 1, 5897. There are 2 integers that are factors of 5897. The greatest factor of 5897 is 5897.
4. How to Find the LCM of 5889 and 5897?
Answer:
Least Common Multiple of 5889 and 5897 = 34727433
Step 1: Find the prime factorization of 5889
5889 = 3 x 13 x 151
Step 2: Find the prime factorization of 5897
5897 = 5897
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34727433 = 3 x 13 x 151 x 5897
Step 4: Therefore, the least common multiple of 5889 and 5897 is 34727433.