Least Common Multiple of 3585 and 3589
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3585 and 3589 the smallest integer that is 12866565 that is divisible by both numbers.
Least Common Multiple (LCM) of 3585 and 3589 is 12866565.
LCM(3585,3589) = 12866565
LCM of 3585 and 3589
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3585 and 3589 by Prime method
- Least Common Multiple of 3585 and 3589 with GCF Formula
LCM of 3585 and 3589 is 12866565
Least common multiple can be found by multiplying the highest exponent prime factors of 3585 and 3589. First we will calculate the prime factors of 3585 and 3589.
Prime Factorization of 3585
| 3 | 3585 |
| 5 | 1195 |
| 239 | 239 |
| 1 |
Prime factors of 3585 are 3, 5,239. Prime factorization of 3585 in exponential form is:
3585 = 31×51×2391
Prime Factorization of 3589
| 37 | 3589 |
| 97 | 97 |
| 1 |
Prime factors of 3589 are 37,97. Prime factorization of 3589 in exponential form is:
3589 = 371×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3585 and 3589.
LCM(3585,3589) = 31×51×371×971×2391
LCM(3585,3589) = 12866565
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1, 3, 5, 15, 239, 717, 1195, 3585
Factors of 3589
List of positive integer factors of 3589 that divides 3589 without a remainder.
1, 37, 97, 3589
Least Common Multiple of 3585 and 3589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3585 and 3589, than apply into the LCM equation.
GCF(3585,3589) = 1
LCM(3585,3589) = ( 3585 × 3589) / 1
LCM(3585,3589) = 12866565 / 1
LCM(3585,3589) = 12866565
Properties of LCM 3585 and 3589
(i) The LCM of 3589 and 3585 is associative
LCM of 3585 and 3589 = LCM of 3589 and 3585
Related Least Common Multiples of 3585
Related Least Common Multiples of 3589
Frequently Asked Questions on LCM of 3585 and 3589
1. What is the LCM of 3585 and 3589?
Answer: LCM of 3585 and 3589 is 12866565.
2. What are the Factors of 3585?
Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.
3. What are the Factors of 3589?
Answer: Factors of 3589 are 1, 37, 97, 3589. There are 4 integers that are factors of 3589. The greatest factor of 3589 is 3589.
4. How to Find the LCM of 3585 and 3589?
Answer:
Least Common Multiple of 3585 and 3589 = 12866565
Step 1: Find the prime factorization of 3585
3585 = 3 x 5 x 239
Step 2: Find the prime factorization of 3589
3589 = 37 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12866565 = 3 x 5 x 37 x 97 x 239
Step 4: Therefore, the least common multiple of 3585 and 3589 is 12866565.