Least Common Multiple of 9537 and 9542
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 9542 the smallest integer that is 91002054 that is divisible by both numbers.
Least Common Multiple (LCM) of 9537 and 9542 is 91002054.
LCM(9537,9542) = 91002054
LCM of 9537 and 9542
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9537 and 9542 by Prime method
- Least Common Multiple of 9537 and 9542 with GCF Formula
LCM of 9537 and 9542 is 91002054
Least common multiple can be found by multiplying the highest exponent prime factors of 9537 and 9542. First we will calculate the prime factors of 9537 and 9542.
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 9542
| 2 | 9542 |
| 13 | 4771 |
| 367 | 367 |
| 1 |
Prime factors of 9542 are 2, 13,367. Prime factorization of 9542 in exponential form is:
9542 = 21×131×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 9537 and 9542.
LCM(9537,9542) = 21×31×111×131×172×3671
LCM(9537,9542) = 91002054
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 9542
List of positive integer factors of 9542 that divides 9542 without a remainder.
1, 2, 13, 26, 367, 734, 4771, 9542
Least Common Multiple of 9537 and 9542 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 9542, than apply into the LCM equation.
GCF(9537,9542) = 1
LCM(9537,9542) = ( 9537 × 9542) / 1
LCM(9537,9542) = 91002054 / 1
LCM(9537,9542) = 91002054
Properties of LCM 9537 and 9542
(i) The LCM of 9542 and 9537 is associative
LCM of 9537 and 9542 = LCM of 9542 and 9537
Related Least Common Multiples of 9537
Related Least Common Multiples of 9542
Frequently Asked Questions on LCM of 9537 and 9542
1. What is the LCM of 9537 and 9542?
Answer: LCM of 9537 and 9542 is 91002054.
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 9542?
Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.
4. How to Find the LCM of 9537 and 9542?
Answer:
Least Common Multiple of 9537 and 9542 = 91002054
Step 1: Find the prime factorization of 9537
9537 = 3 x 11 x 17 x 17
Step 2: Find the prime factorization of 9542
9542 = 2 x 13 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91002054 = 2 x 3 x 11 x 13 x 17 x 17 x 367
Step 4: Therefore, the least common multiple of 9537 and 9542 is 91002054.