Least Common Multiple of 7581 and 7585
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7581 and 7585 the smallest integer that is 57501885 that is divisible by both numbers.
Least Common Multiple (LCM) of 7581 and 7585 is 57501885.
LCM(7581,7585) = 57501885
LCM of 7581 and 7585
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7581 and 7585 by Prime method
- Least Common Multiple of 7581 and 7585 with GCF Formula
LCM of 7581 and 7585 is 57501885
Least common multiple can be found by multiplying the highest exponent prime factors of 7581 and 7585. First we will calculate the prime factors of 7581 and 7585.
Prime Factorization of 7581
| 3 | 7581 |
| 7 | 2527 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 7581 are 3, 7,19. Prime factorization of 7581 in exponential form is:
7581 = 31×71×192
Prime Factorization of 7585
| 5 | 7585 |
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 7585 are 5, 37,41. Prime factorization of 7585 in exponential form is:
7585 = 51×371×411
Now multiplying the highest exponent prime factors to calculate the LCM of 7581 and 7585.
LCM(7581,7585) = 31×51×71×192×371×411
LCM(7581,7585) = 57501885
Factors of 7581
List of positive integer factors of 7581 that divides 7581 without a remainder.
1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581
Factors of 7585
List of positive integer factors of 7585 that divides 7585 without a remainder.
1, 5, 37, 41, 185, 205, 1517, 7585
Least Common Multiple of 7581 and 7585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7581 and 7585, than apply into the LCM equation.
GCF(7581,7585) = 1
LCM(7581,7585) = ( 7581 × 7585) / 1
LCM(7581,7585) = 57501885 / 1
LCM(7581,7585) = 57501885
Properties of LCM 7581 and 7585
(i) The LCM of 7585 and 7581 is associative
LCM of 7581 and 7585 = LCM of 7585 and 7581
Related Least Common Multiples of 7581
Related Least Common Multiples of 7585
Frequently Asked Questions on LCM of 7581 and 7585
1. What is the LCM of 7581 and 7585?
Answer: LCM of 7581 and 7585 is 57501885.
2. What are the Factors of 7581?
Answer: Factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581. There are 12 integers that are factors of 7581. The greatest factor of 7581 is 7581.
3. What are the Factors of 7585?
Answer: Factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585. There are 8 integers that are factors of 7585. The greatest factor of 7585 is 7585.
4. How to Find the LCM of 7581 and 7585?
Answer:
Least Common Multiple of 7581 and 7585 = 57501885
Step 1: Find the prime factorization of 7581
7581 = 3 x 7 x 19 x 19
Step 2: Find the prime factorization of 7585
7585 = 5 x 37 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57501885 = 3 x 5 x 7 x 19 x 19 x 37 x 41
Step 4: Therefore, the least common multiple of 7581 and 7585 is 57501885.