Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9541 and 9545 the smallest integer that is 91068845 that is divisible by both numbers.
Least Common Multiple (LCM) of 9541 and 9545 is 91068845.
LCM(9541,9545) = 91068845
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 9541 and 9545. First we will calculate the prime factors of 9541 and 9545.
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
Prime Factorization of 9545
5 | 9545 |
23 | 1909 |
83 | 83 |
1 |
Prime factors of 9545 are 5, 23,83. Prime factorization of 9545 in exponential form is:
9545 = 51×231×831
Now multiplying the highest exponent prime factors to calculate the LCM of 9541 and 9545.
LCM(9541,9545) = 51×71×231×291×471×831
LCM(9541,9545) = 91068845
Factors of 9541
List of positive integer factors of 9541 that divides 9541 without a remainder.
1, 7, 29, 47, 203, 329, 1363, 9541
Factors of 9545
List of positive integer factors of 9545 that divides 9545 without a remainder.
1, 5, 23, 83, 115, 415, 1909, 9545
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9541 and 9545, than apply into the LCM equation.
GCF(9541,9545) = 1
LCM(9541,9545) = ( 9541 × 9545) / 1
LCM(9541,9545) = 91068845 / 1
LCM(9541,9545) = 91068845
(i) The LCM of 9545 and 9541 is associative
LCM of 9541 and 9545 = LCM of 9545 and 9541
1. What is the LCM of 9541 and 9545?
Answer: LCM of 9541 and 9545 is 91068845.
2. 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.
3. What are the Factors of 9545?
Answer: Factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545. There are 8 integers that are factors of 9545. The greatest factor of 9545 is 9545.
4. How to Find the LCM of 9541 and 9545?
Answer:
Least Common Multiple of 9541 and 9545 = 91068845
Step 1: Find the prime factorization of 9541
9541 = 7 x 29 x 47
Step 2: Find the prime factorization of 9545
9545 = 5 x 23 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91068845 = 5 x 7 x 23 x 29 x 47 x 83
Step 4: Therefore, the least common multiple of 9541 and 9545 is 91068845.