Least Common Multiple of 3588 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 3588 and 3595 the smallest integer that is 12898860 that is divisible by both numbers.
Least Common Multiple (LCM) of 3588 and 3595 is 12898860.
LCM(3588,3595) = 12898860
LCM of 3588 and 3595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3588 and 3595 by Prime method
- Least Common Multiple of 3588 and 3595 with GCF Formula
LCM of 3588 and 3595 is 12898860
Least common multiple can be found by multiplying the highest exponent prime factors of 3588 and 3595. First we will calculate the prime factors of 3588 and 3595.
Prime Factorization of 3588
| 2 | 3588 |
| 2 | 1794 |
| 3 | 897 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 3588 are 2, 3, 13,23. Prime factorization of 3588 in exponential form is:
3588 = 22×31×131×231
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 3588 and 3595.
LCM(3588,3595) = 22×31×51×131×231×7191
LCM(3588,3595) = 12898860
Factors of 3588
List of positive integer factors of 3588 that divides 3588 without a remainder.
1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
Factors of 3595
List of positive integer factors of 3595 that divides 3595 without a remainder.
1, 5, 719, 3595
Least Common Multiple of 3588 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 3588 and 3595, than apply into the LCM equation.
GCF(3588,3595) = 1
LCM(3588,3595) = ( 3588 × 3595) / 1
LCM(3588,3595) = 12898860 / 1
LCM(3588,3595) = 12898860
Properties of LCM 3588 and 3595
(i) The LCM of 3595 and 3588 is associative
LCM of 3588 and 3595 = LCM of 3595 and 3588
Related Least Common Multiples of 3588
Related Least Common Multiples of 3595
Frequently Asked Questions on LCM of 3588 and 3595
1. What is the LCM of 3588 and 3595?
Answer: LCM of 3588 and 3595 is 12898860.
2. What are the Factors of 3588?
Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.
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 3588 and 3595?
Answer:
Least Common Multiple of 3588 and 3595 = 12898860
Step 1: Find the prime factorization of 3588
3588 = 2 x 2 x 3 x 13 x 23
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 = 12898860 = 2 x 2 x 3 x 5 x 13 x 23 x 719
Step 4: Therefore, the least common multiple of 3588 and 3595 is 12898860.