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 9544 the smallest integer that is 91021128 that is divisible by both numbers.
Least Common Multiple (LCM) of 9537 and 9544 is 91021128.
LCM(9537,9544) = 91021128
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9537 and 9544. First we will calculate the prime factors of 9537 and 9544.
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 9544
2 | 9544 |
2 | 4772 |
2 | 2386 |
1193 | 1193 |
1 |
Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:
9544 = 23×11931
Now multiplying the highest exponent prime factors to calculate the LCM of 9537 and 9544.
LCM(9537,9544) = 23×31×111×172×11931
LCM(9537,9544) = 91021128
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 9544
List of positive integer factors of 9544 that divides 9544 without a remainder.
1, 2, 4, 8, 1193, 2386, 4772, 9544
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9537 and 9544, than apply into the LCM equation.
GCF(9537,9544) = 1
LCM(9537,9544) = ( 9537 × 9544) / 1
LCM(9537,9544) = 91021128 / 1
LCM(9537,9544) = 91021128
(i) The LCM of 9544 and 9537 is associative
LCM of 9537 and 9544 = LCM of 9544 and 9537
1. What is the LCM of 9537 and 9544?
Answer: LCM of 9537 and 9544 is 91021128.
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 9544?
Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.
4. How to Find the LCM of 9537 and 9544?
Answer:
Least Common Multiple of 9537 and 9544 = 91021128
Step 1: Find the prime factorization of 9537
9537 = 3 x 11 x 17 x 17
Step 2: Find the prime factorization of 9544
9544 = 2 x 2 x 2 x 1193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91021128 = 2 x 2 x 2 x 3 x 11 x 17 x 17 x 1193
Step 4: Therefore, the least common multiple of 9537 and 9544 is 91021128.