Least Common Multiple of 7578 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 7578 and 7585 the smallest integer that is 57479130 that is divisible by both numbers.
Least Common Multiple (LCM) of 7578 and 7585 is 57479130.
LCM(7578,7585) = 57479130
LCM of 7578 and 7585
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7578 and 7585 by Prime method
- Least Common Multiple of 7578 and 7585 with GCF Formula
LCM of 7578 and 7585 is 57479130
Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7585. First we will calculate the prime factors of 7578 and 7585.
Prime Factorization of 7578
| 2 | 7578 |
| 3 | 3789 |
| 3 | 1263 |
| 421 | 421 |
| 1 |
Prime factors of 7578 are 2, 3,421. Prime factorization of 7578 in exponential form is:
7578 = 21×32×4211
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 7578 and 7585.
LCM(7578,7585) = 21×32×51×371×411×4211
LCM(7578,7585) = 57479130
Factors of 7578
List of positive integer factors of 7578 that divides 7578 without a remainder.
1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578
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 7578 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 7578 and 7585, than apply into the LCM equation.
GCF(7578,7585) = 1
LCM(7578,7585) = ( 7578 × 7585) / 1
LCM(7578,7585) = 57479130 / 1
LCM(7578,7585) = 57479130
Properties of LCM 7578 and 7585
(i) The LCM of 7585 and 7578 is associative
LCM of 7578 and 7585 = LCM of 7585 and 7578
Related Least Common Multiples of 7578
Related Least Common Multiples of 7585
Frequently Asked Questions on LCM of 7578 and 7585
1. What is the LCM of 7578 and 7585?
Answer: LCM of 7578 and 7585 is 57479130.
2. What are the Factors of 7578?
Answer: Factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578. There are 12 integers that are factors of 7578. The greatest factor of 7578 is 7578.
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 7578 and 7585?
Answer:
Least Common Multiple of 7578 and 7585 = 57479130
Step 1: Find the prime factorization of 7578
7578 = 2 x 3 x 3 x 421
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 = 57479130 = 2 x 3 x 3 x 5 x 37 x 41 x 421
Step 4: Therefore, the least common multiple of 7578 and 7585 is 57479130.