Least Common Multiple of 5865 and 5873
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 5873 the smallest integer that is 34445145 that is divisible by both numbers.
Least Common Multiple (LCM) of 5865 and 5873 is 34445145.
LCM(5865,5873) = 34445145
LCM of 5865 and 5873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5865 and 5873 by Prime method
- Least Common Multiple of 5865 and 5873 with GCF Formula
LCM of 5865 and 5873 is 34445145
Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5873. First we will calculate the prime factors of 5865 and 5873.
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 5873
| 7 | 5873 |
| 839 | 839 |
| 1 |
Prime factors of 5873 are 7,839. Prime factorization of 5873 in exponential form is:
5873 = 71×8391
Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5873.
LCM(5865,5873) = 31×51×71×171×231×8391
LCM(5865,5873) = 34445145
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 5873
List of positive integer factors of 5873 that divides 5873 without a remainder.
1, 7, 839, 5873
Least Common Multiple of 5865 and 5873 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 5873, than apply into the LCM equation.
GCF(5865,5873) = 1
LCM(5865,5873) = ( 5865 × 5873) / 1
LCM(5865,5873) = 34445145 / 1
LCM(5865,5873) = 34445145
Properties of LCM 5865 and 5873
(i) The LCM of 5873 and 5865 is associative
LCM of 5865 and 5873 = LCM of 5873 and 5865
Related Least Common Multiples of 5865
Related Least Common Multiples of 5873
Frequently Asked Questions on LCM of 5865 and 5873
1. What is the LCM of 5865 and 5873?
Answer: LCM of 5865 and 5873 is 34445145.
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 5873?
Answer: Factors of 5873 are 1, 7, 839, 5873. There are 4 integers that are factors of 5873. The greatest factor of 5873 is 5873.
4. How to Find the LCM of 5865 and 5873?
Answer:
Least Common Multiple of 5865 and 5873 = 34445145
Step 1: Find the prime factorization of 5865
5865 = 3 x 5 x 17 x 23
Step 2: Find the prime factorization of 5873
5873 = 7 x 839
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34445145 = 3 x 5 x 7 x 17 x 23 x 839
Step 4: Therefore, the least common multiple of 5865 and 5873 is 34445145.