Least Common Multiple of 3587 and 3591
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3587 and 3591 the smallest integer that is 12880917 that is divisible by both numbers.
Least Common Multiple (LCM) of 3587 and 3591 is 12880917.
LCM(3587,3591) = 12880917
LCM of 3587 and 3591
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3587 and 3591 by Prime method
- Least Common Multiple of 3587 and 3591 with GCF Formula
LCM of 3587 and 3591 is 12880917
Least common multiple can be found by multiplying the highest exponent prime factors of 3587 and 3591. First we will calculate the prime factors of 3587 and 3591.
Prime Factorization of 3587
| 17 | 3587 |
| 211 | 211 |
| 1 |
Prime factors of 3587 are 17,211. Prime factorization of 3587 in exponential form is:
3587 = 171×2111
Prime Factorization of 3591
| 3 | 3591 |
| 3 | 1197 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 3591 are 3, 7,19. Prime factorization of 3591 in exponential form is:
3591 = 33×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3587 and 3591.
LCM(3587,3591) = 33×71×171×191×2111
LCM(3587,3591) = 12880917
Factors of 3587
List of positive integer factors of 3587 that divides 3587 without a remainder.
1, 17, 211, 3587
Factors of 3591
List of positive integer factors of 3591 that divides 3591 without a remainder.
1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
Least Common Multiple of 3587 and 3591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3587 and 3591, than apply into the LCM equation.
GCF(3587,3591) = 1
LCM(3587,3591) = ( 3587 × 3591) / 1
LCM(3587,3591) = 12880917 / 1
LCM(3587,3591) = 12880917
Properties of LCM 3587 and 3591
(i) The LCM of 3591 and 3587 is associative
LCM of 3587 and 3591 = LCM of 3591 and 3587
Related Least Common Multiples of 3587
Related Least Common Multiples of 3591
Frequently Asked Questions on LCM of 3587 and 3591
1. What is the LCM of 3587 and 3591?
Answer: LCM of 3587 and 3591 is 12880917.
2. What are the Factors of 3587?
Answer: Factors of 3587 are 1, 17, 211, 3587. There are 4 integers that are factors of 3587. The greatest factor of 3587 is 3587.
3. What are the Factors of 3591?
Answer: Factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591. There are 16 integers that are factors of 3591. The greatest factor of 3591 is 3591.
4. How to Find the LCM of 3587 and 3591?
Answer:
Least Common Multiple of 3587 and 3591 = 12880917
Step 1: Find the prime factorization of 3587
3587 = 17 x 211
Step 2: Find the prime factorization of 3591
3591 = 3 x 3 x 3 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12880917 = 3 x 3 x 3 x 7 x 17 x 19 x 211
Step 4: Therefore, the least common multiple of 3587 and 3591 is 12880917.