Least Common Multiple of 5865 and 5869
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 5869 the smallest integer that is 34421685 that is divisible by both numbers.
Least Common Multiple (LCM) of 5865 and 5869 is 34421685.
LCM(5865,5869) = 34421685
LCM of 5865 and 5869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5865 and 5869 by Prime method
- Least Common Multiple of 5865 and 5869 with GCF Formula
LCM of 5865 and 5869 is 34421685
Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5869. First we will calculate the prime factors of 5865 and 5869.
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 5869
| 5869 | 5869 |
| 1 |
Prime factors of 5869 are 5869. Prime factorization of 5869 in exponential form is:
5869 = 58691
Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5869.
LCM(5865,5869) = 31×51×171×231×58691
LCM(5865,5869) = 34421685
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 5869
List of positive integer factors of 5869 that divides 5869 without a remainder.
1, 5869
Least Common Multiple of 5865 and 5869 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 5869, than apply into the LCM equation.
GCF(5865,5869) = 1
LCM(5865,5869) = ( 5865 × 5869) / 1
LCM(5865,5869) = 34421685 / 1
LCM(5865,5869) = 34421685
Properties of LCM 5865 and 5869
(i) The LCM of 5869 and 5865 is associative
LCM of 5865 and 5869 = LCM of 5869 and 5865
Related Least Common Multiples of 5865
Related Least Common Multiples of 5869
Frequently Asked Questions on LCM of 5865 and 5869
1. What is the LCM of 5865 and 5869?
Answer: LCM of 5865 and 5869 is 34421685.
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 5869?
Answer: Factors of 5869 are 1, 5869. There are 2 integers that are factors of 5869. The greatest factor of 5869 is 5869.
4. How to Find the LCM of 5865 and 5869?
Answer:
Least Common Multiple of 5865 and 5869 = 34421685
Step 1: Find the prime factorization of 5865
5865 = 3 x 5 x 17 x 23
Step 2: Find the prime factorization of 5869
5869 = 5869
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34421685 = 3 x 5 x 17 x 23 x 5869
Step 4: Therefore, the least common multiple of 5865 and 5869 is 34421685.