Least Common Multiple of 5885 and 5889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5885 and 5889 the smallest integer that is 34656765 that is divisible by both numbers.
Least Common Multiple (LCM) of 5885 and 5889 is 34656765.
LCM(5885,5889) = 34656765
LCM of 5885 and 5889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5885 and 5889 by Prime method
- Least Common Multiple of 5885 and 5889 with GCF Formula
LCM of 5885 and 5889 is 34656765
Least common multiple can be found by multiplying the highest exponent prime factors of 5885 and 5889. First we will calculate the prime factors of 5885 and 5889.
Prime Factorization of 5885
| 5 | 5885 |
| 11 | 1177 |
| 107 | 107 |
| 1 |
Prime factors of 5885 are 5, 11,107. Prime factorization of 5885 in exponential form is:
5885 = 51×111×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5885 and 5889.
LCM(5885,5889) = 31×51×111×131×1071×1511
LCM(5885,5889) = 34656765
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1, 5, 11, 55, 107, 535, 1177, 5885
Factors of 5889
List of positive integer factors of 5889 that divides 5889 without a remainder.
1, 3, 13, 39, 151, 453, 1963, 5889
Least Common Multiple of 5885 and 5889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5885 and 5889, than apply into the LCM equation.
GCF(5885,5889) = 1
LCM(5885,5889) = ( 5885 × 5889) / 1
LCM(5885,5889) = 34656765 / 1
LCM(5885,5889) = 34656765
Properties of LCM 5885 and 5889
(i) The LCM of 5889 and 5885 is associative
LCM of 5885 and 5889 = LCM of 5889 and 5885
Related Least Common Multiples of 5885
Related Least Common Multiples of 5889
Frequently Asked Questions on LCM of 5885 and 5889
1. What is the LCM of 5885 and 5889?
Answer: LCM of 5885 and 5889 is 34656765.
2. What are the Factors of 5885?
Answer: Factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885. There are 8 integers that are factors of 5885. The greatest factor of 5885 is 5885.
3. 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.
4. How to Find the LCM of 5885 and 5889?
Answer:
Least Common Multiple of 5885 and 5889 = 34656765
Step 1: Find the prime factorization of 5885
5885 = 5 x 11 x 107
Step 2: Find the prime factorization of 5889
5889 = 3 x 13 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34656765 = 3 x 5 x 11 x 13 x 107 x 151
Step 4: Therefore, the least common multiple of 5885 and 5889 is 34656765.