Least Common Multiple of 9529 and 9535
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 9535 the smallest integer that is 90859015 that is divisible by both numbers.
Least Common Multiple (LCM) of 9529 and 9535 is 90859015.
LCM(9529,9535) = 90859015
LCM of 9529 and 9535
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9529 and 9535 by Prime method
- Least Common Multiple of 9529 and 9535 with GCF Formula
LCM of 9529 and 9535 is 90859015
Least common multiple can be found by multiplying the highest exponent prime factors of 9529 and 9535. First we will calculate the prime factors of 9529 and 9535.
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 9535
| 5 | 9535 |
| 1907 | 1907 |
| 1 |
Prime factors of 9535 are 5,1907. Prime factorization of 9535 in exponential form is:
9535 = 51×19071
Now multiplying the highest exponent prime factors to calculate the LCM of 9529 and 9535.
LCM(9529,9535) = 51×131×7331×19071
LCM(9529,9535) = 90859015
Factors of 9529
List of positive integer factors of 9529 that divides 9529 without a remainder.
1, 13, 733, 9529
Factors of 9535
List of positive integer factors of 9535 that divides 9535 without a remainder.
1, 5, 1907, 9535
Least Common Multiple of 9529 and 9535 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 9535, than apply into the LCM equation.
GCF(9529,9535) = 1
LCM(9529,9535) = ( 9529 × 9535) / 1
LCM(9529,9535) = 90859015 / 1
LCM(9529,9535) = 90859015
Properties of LCM 9529 and 9535
(i) The LCM of 9535 and 9529 is associative
LCM of 9529 and 9535 = LCM of 9535 and 9529
Related Least Common Multiples of 9529
Related Least Common Multiples of 9535
Frequently Asked Questions on LCM of 9529 and 9535
1. What is the LCM of 9529 and 9535?
Answer: LCM of 9529 and 9535 is 90859015.
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 9535?
Answer: Factors of 9535 are 1, 5, 1907, 9535. There are 4 integers that are factors of 9535. The greatest factor of 9535 is 9535.
4. How to Find the LCM of 9529 and 9535?
Answer:
Least Common Multiple of 9529 and 9535 = 90859015
Step 1: Find the prime factorization of 9529
9529 = 13 x 733
Step 2: Find the prime factorization of 9535
9535 = 5 x 1907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90859015 = 5 x 13 x 733 x 1907
Step 4: Therefore, the least common multiple of 9529 and 9535 is 90859015.