Least Common Multiple of 5865 and 5867
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5865 and 5867 the smallest integer that is 34409955 that is divisible by both numbers.
Least Common Multiple (LCM) of 5865 and 5867 is 34409955.
LCM(5865,5867) = 34409955
LCM of 5865 and 5867
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5865 and 5867 by Prime method
- Least Common Multiple of 5865 and 5867 with GCF Formula
LCM of 5865 and 5867 is 34409955
Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5867. First we will calculate the prime factors of 5865 and 5867.
Prime Factorization of 5865
| 3 | 5865 |
| 5 | 1955 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 5865 are 3, 5, 17,23. Prime factorization of 5865 in exponential form is:
5865 = 31×51×171×231
Prime Factorization of 5867
| 5867 | 5867 |
| 1 |
Prime factors of 5867 are 5867. Prime factorization of 5867 in exponential form is:
5867 = 58671
Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5867.
LCM(5865,5867) = 31×51×171×231×58671
LCM(5865,5867) = 34409955
Factors of 5865
List of positive integer factors of 5865 that divides 5865 without a remainder.
1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
Factors of 5867
List of positive integer factors of 5867 that divides 5867 without a remainder.
1, 5867
Least Common Multiple of 5865 and 5867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5865 and 5867, than apply into the LCM equation.
GCF(5865,5867) = 1
LCM(5865,5867) = ( 5865 × 5867) / 1
LCM(5865,5867) = 34409955 / 1
LCM(5865,5867) = 34409955
Properties of LCM 5865 and 5867
(i) The LCM of 5867 and 5865 is associative
LCM of 5865 and 5867 = LCM of 5867 and 5865
Related Least Common Multiples of 5865
Related Least Common Multiples of 5867
Frequently Asked Questions on LCM of 5865 and 5867
1. What is the LCM of 5865 and 5867?
Answer: LCM of 5865 and 5867 is 34409955.
2. What are the Factors of 5865?
Answer: Factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865. There are 16 integers that are factors of 5865. The greatest factor of 5865 is 5865.
3. What are the Factors of 5867?
Answer: Factors of 5867 are 1, 5867. There are 2 integers that are factors of 5867. The greatest factor of 5867 is 5867.
4. How to Find the LCM of 5865 and 5867?
Answer:
Least Common Multiple of 5865 and 5867 = 34409955
Step 1: Find the prime factorization of 5865
5865 = 3 x 5 x 17 x 23
Step 2: Find the prime factorization of 5867
5867 = 5867
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34409955 = 3 x 5 x 17 x 23 x 5867
Step 4: Therefore, the least common multiple of 5865 and 5867 is 34409955.