Least Common Multiple of 3591 and 3595
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3591 and 3595 the smallest integer that is 12909645 that is divisible by both numbers.
Least Common Multiple (LCM) of 3591 and 3595 is 12909645.
LCM(3591,3595) = 12909645
LCM of 3591 and 3595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3591 and 3595 by Prime method
- Least Common Multiple of 3591 and 3595 with GCF Formula
LCM of 3591 and 3595 is 12909645
Least common multiple can be found by multiplying the highest exponent prime factors of 3591 and 3595. First we will calculate the prime factors of 3591 and 3595.
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
Prime Factorization of 3595
| 5 | 3595 |
| 719 | 719 |
| 1 |
Prime factors of 3595 are 5,719. Prime factorization of 3595 in exponential form is:
3595 = 51×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 3591 and 3595.
LCM(3591,3595) = 33×51×71×191×7191
LCM(3591,3595) = 12909645
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
Factors of 3595
List of positive integer factors of 3595 that divides 3595 without a remainder.
1, 5, 719, 3595
Least Common Multiple of 3591 and 3595 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3591 and 3595, than apply into the LCM equation.
GCF(3591,3595) = 1
LCM(3591,3595) = ( 3591 × 3595) / 1
LCM(3591,3595) = 12909645 / 1
LCM(3591,3595) = 12909645
Properties of LCM 3591 and 3595
(i) The LCM of 3595 and 3591 is associative
LCM of 3591 and 3595 = LCM of 3595 and 3591
Related Least Common Multiples of 3591
Related Least Common Multiples of 3595
Frequently Asked Questions on LCM of 3591 and 3595
1. What is the LCM of 3591 and 3595?
Answer: LCM of 3591 and 3595 is 12909645.
2. 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.
3. What are the Factors of 3595?
Answer: Factors of 3595 are 1, 5, 719, 3595. There are 4 integers that are factors of 3595. The greatest factor of 3595 is 3595.
4. How to Find the LCM of 3591 and 3595?
Answer:
Least Common Multiple of 3591 and 3595 = 12909645
Step 1: Find the prime factorization of 3591
3591 = 3 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 3595
3595 = 5 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12909645 = 3 x 3 x 3 x 5 x 7 x 19 x 719
Step 4: Therefore, the least common multiple of 3591 and 3595 is 12909645.