Least Common Multiple of 9537 and 9541
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9537 and 9541 the smallest integer that is 90992517 that is divisible by both numbers.
Least Common Multiple (LCM) of 9537 and 9541 is 90992517.
LCM(9537,9541) = 90992517
LCM of 9537 and 9541
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9537 and 9541 by Prime method
- Least Common Multiple of 9537 and 9541 with GCF Formula
LCM of 9537 and 9541 is 90992517
Least common multiple can be found by multiplying the highest exponent prime factors of 9537 and 9541. First we will calculate the prime factors of 9537 and 9541.
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
Prime Factorization of 9541
| 7 | 9541 |
| 29 | 1363 |
| 47 | 47 |
| 1 |
Prime factors of 9541 are 7, 29,47. Prime factorization of 9541 in exponential form is:
9541 = 71×291×471
Now multiplying the highest exponent prime factors to calculate the LCM of 9537 and 9541.
LCM(9537,9541) = 31×71×111×172×291×471
LCM(9537,9541) = 90992517
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
Factors of 9541
List of positive integer factors of 9541 that divides 9541 without a remainder.
1, 7, 29, 47, 203, 329, 1363, 9541
Least Common Multiple of 9537 and 9541 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9537 and 9541, than apply into the LCM equation.
GCF(9537,9541) = 1
LCM(9537,9541) = ( 9537 × 9541) / 1
LCM(9537,9541) = 90992517 / 1
LCM(9537,9541) = 90992517
Properties of LCM 9537 and 9541
(i) The LCM of 9541 and 9537 is associative
LCM of 9537 and 9541 = LCM of 9541 and 9537
Related Least Common Multiples of 9537
Related Least Common Multiples of 9541
Frequently Asked Questions on LCM of 9537 and 9541
1. What is the LCM of 9537 and 9541?
Answer: LCM of 9537 and 9541 is 90992517.
2. 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.
3. What are the Factors of 9541?
Answer: Factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541. There are 8 integers that are factors of 9541. The greatest factor of 9541 is 9541.
4. How to Find the LCM of 9537 and 9541?
Answer:
Least Common Multiple of 9537 and 9541 = 90992517
Step 1: Find the prime factorization of 9537
9537 = 3 x 11 x 17 x 17
Step 2: Find the prime factorization of 9541
9541 = 7 x 29 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90992517 = 3 x 7 x 11 x 17 x 17 x 29 x 47
Step 4: Therefore, the least common multiple of 9537 and 9541 is 90992517.