Least Common Multiple of 9541 and 9546
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 9546 the smallest integer that is 91078386 that is divisible by both numbers.
Least Common Multiple (LCM) of 9541 and 9546 is 91078386.
LCM(9541,9546) = 91078386
LCM of 9541 and 9546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9541 and 9546 by Prime method
- Least Common Multiple of 9541 and 9546 with GCF Formula
LCM of 9541 and 9546 is 91078386
Least common multiple can be found by multiplying the highest exponent prime factors of 9541 and 9546. First we will calculate the prime factors of 9541 and 9546.
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 9546
| 2 | 9546 |
| 3 | 4773 |
| 37 | 1591 |
| 43 | 43 |
| 1 |
Prime factors of 9546 are 2, 3, 37,43. Prime factorization of 9546 in exponential form is:
9546 = 21×31×371×431
Now multiplying the highest exponent prime factors to calculate the LCM of 9541 and 9546.
LCM(9541,9546) = 21×31×71×291×371×431×471
LCM(9541,9546) = 91078386
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 9546
List of positive integer factors of 9546 that divides 9546 without a remainder.
1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
Least Common Multiple of 9541 and 9546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9541 and 9546, than apply into the LCM equation.
GCF(9541,9546) = 1
LCM(9541,9546) = ( 9541 × 9546) / 1
LCM(9541,9546) = 91078386 / 1
LCM(9541,9546) = 91078386
Properties of LCM 9541 and 9546
(i) The LCM of 9546 and 9541 is associative
LCM of 9541 and 9546 = LCM of 9546 and 9541
Related Least Common Multiples of 9541
Related Least Common Multiples of 9546
Frequently Asked Questions on LCM of 9541 and 9546
1. What is the LCM of 9541 and 9546?
Answer: LCM of 9541 and 9546 is 91078386.
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 9546?
Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.
4. How to Find the LCM of 9541 and 9546?
Answer:
Least Common Multiple of 9541 and 9546 = 91078386
Step 1: Find the prime factorization of 9541
9541 = 7 x 29 x 47
Step 2: Find the prime factorization of 9546
9546 = 2 x 3 x 37 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91078386 = 2 x 3 x 7 x 29 x 37 x 43 x 47
Step 4: Therefore, the least common multiple of 9541 and 9546 is 91078386.