Least Common Multiple of 9529 and 9537
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9529 and 9537 the smallest integer that is 90878073 that is divisible by both numbers.
Least Common Multiple (LCM) of 9529 and 9537 is 90878073.
LCM(9529,9537) = 90878073
LCM of 9529 and 9537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9529 and 9537 by Prime method
- Least Common Multiple of 9529 and 9537 with GCF Formula
LCM of 9529 and 9537 is 90878073
Least common multiple can be found by multiplying the highest exponent prime factors of 9529 and 9537. First we will calculate the prime factors of 9529 and 9537.
Prime Factorization of 9529
| 13 | 9529 |
| 733 | 733 |
| 1 |
Prime factors of 9529 are 13,733. Prime factorization of 9529 in exponential form is:
9529 = 131×7331
Prime Factorization of 9537
| 3 | 9537 |
| 11 | 3179 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 9537 are 3, 11,17. Prime factorization of 9537 in exponential form is:
9537 = 31×111×172
Now multiplying the highest exponent prime factors to calculate the LCM of 9529 and 9537.
LCM(9529,9537) = 31×111×131×172×7331
LCM(9529,9537) = 90878073
Factors of 9529
List of positive integer factors of 9529 that divides 9529 without a remainder.
1, 13, 733, 9529
Factors of 9537
List of positive integer factors of 9537 that divides 9537 without a remainder.
1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
Least Common Multiple of 9529 and 9537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9529 and 9537, than apply into the LCM equation.
GCF(9529,9537) = 1
LCM(9529,9537) = ( 9529 × 9537) / 1
LCM(9529,9537) = 90878073 / 1
LCM(9529,9537) = 90878073
Properties of LCM 9529 and 9537
(i) The LCM of 9537 and 9529 is associative
LCM of 9529 and 9537 = LCM of 9537 and 9529
Related Least Common Multiples of 9529
Related Least Common Multiples of 9537
Frequently Asked Questions on LCM of 9529 and 9537
1. What is the LCM of 9529 and 9537?
Answer: LCM of 9529 and 9537 is 90878073.
2. What are the Factors of 9529?
Answer: Factors of 9529 are 1, 13, 733, 9529. There are 4 integers that are factors of 9529. The greatest factor of 9529 is 9529.
3. What are the Factors of 9537?
Answer: Factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537. There are 12 integers that are factors of 9537. The greatest factor of 9537 is 9537.
4. How to Find the LCM of 9529 and 9537?
Answer:
Least Common Multiple of 9529 and 9537 = 90878073
Step 1: Find the prime factorization of 9529
9529 = 13 x 733
Step 2: Find the prime factorization of 9537
9537 = 3 x 11 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90878073 = 3 x 11 x 13 x 17 x 17 x 733
Step 4: Therefore, the least common multiple of 9529 and 9537 is 90878073.