Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9543 and 9548 the smallest integer that is 91116564 that is divisible by both numbers.
Least Common Multiple (LCM) of 9543 and 9548 is 91116564.
LCM(9543,9548) = 91116564
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 9543 and 9548. First we will calculate the prime factors of 9543 and 9548.
Prime Factorization of 9543
3 | 9543 |
3181 | 3181 |
1 |
Prime factors of 9543 are 3,3181. Prime factorization of 9543 in exponential form is:
9543 = 31×31811
Prime Factorization of 9548
2 | 9548 |
2 | 4774 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 9548 are 2, 7, 11,31. Prime factorization of 9548 in exponential form is:
9548 = 22×71×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 9543 and 9548.
LCM(9543,9548) = 22×31×71×111×311×31811
LCM(9543,9548) = 91116564
Factors of 9543
List of positive integer factors of 9543 that divides 9543 without a remainder.
1, 3, 3181, 9543
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9543 and 9548, than apply into the LCM equation.
GCF(9543,9548) = 1
LCM(9543,9548) = ( 9543 × 9548) / 1
LCM(9543,9548) = 91116564 / 1
LCM(9543,9548) = 91116564
(i) The LCM of 9548 and 9543 is associative
LCM of 9543 and 9548 = LCM of 9548 and 9543
1. What is the LCM of 9543 and 9548?
Answer: LCM of 9543 and 9548 is 91116564.
2. What are the Factors of 9543?
Answer: Factors of 9543 are 1, 3, 3181, 9543. There are 4 integers that are factors of 9543. The greatest factor of 9543 is 9543.
3. What are the Factors of 9548?
Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.
4. How to Find the LCM of 9543 and 9548?
Answer:
Least Common Multiple of 9543 and 9548 = 91116564
Step 1: Find the prime factorization of 9543
9543 = 3 x 3181
Step 2: Find the prime factorization of 9548
9548 = 2 x 2 x 7 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91116564 = 2 x 2 x 3 x 7 x 11 x 31 x 3181
Step 4: Therefore, the least common multiple of 9543 and 9548 is 91116564.