Least Common Multiple of 5885 and 5891
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 5891 the smallest integer that is 34668535 that is divisible by both numbers.
Least Common Multiple (LCM) of 5885 and 5891 is 34668535.
LCM(5885,5891) = 34668535
LCM of 5885 and 5891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5885 and 5891 by Prime method
- Least Common Multiple of 5885 and 5891 with GCF Formula
LCM of 5885 and 5891 is 34668535
Least common multiple can be found by multiplying the highest exponent prime factors of 5885 and 5891. First we will calculate the prime factors of 5885 and 5891.
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 5891
| 43 | 5891 |
| 137 | 137 |
| 1 |
Prime factors of 5891 are 43,137. Prime factorization of 5891 in exponential form is:
5891 = 431×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5885 and 5891.
LCM(5885,5891) = 51×111×431×1071×1371
LCM(5885,5891) = 34668535
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 5891
List of positive integer factors of 5891 that divides 5891 without a remainder.
1, 43, 137, 5891
Least Common Multiple of 5885 and 5891 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 5891, than apply into the LCM equation.
GCF(5885,5891) = 1
LCM(5885,5891) = ( 5885 × 5891) / 1
LCM(5885,5891) = 34668535 / 1
LCM(5885,5891) = 34668535
Properties of LCM 5885 and 5891
(i) The LCM of 5891 and 5885 is associative
LCM of 5885 and 5891 = LCM of 5891 and 5885
Related Least Common Multiples of 5885
Related Least Common Multiples of 5891
Frequently Asked Questions on LCM of 5885 and 5891
1. What is the LCM of 5885 and 5891?
Answer: LCM of 5885 and 5891 is 34668535.
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 5891?
Answer: Factors of 5891 are 1, 43, 137, 5891. There are 4 integers that are factors of 5891. The greatest factor of 5891 is 5891.
4. How to Find the LCM of 5885 and 5891?
Answer:
Least Common Multiple of 5885 and 5891 = 34668535
Step 1: Find the prime factorization of 5885
5885 = 5 x 11 x 107
Step 2: Find the prime factorization of 5891
5891 = 43 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34668535 = 5 x 11 x 43 x 107 x 137
Step 4: Therefore, the least common multiple of 5885 and 5891 is 34668535.