Least Common Multiple of 9843 and 9849
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9843 and 9849 the smallest integer that is 32314569 that is divisible by both numbers.
Least Common Multiple (LCM) of 9843 and 9849 is 32314569.
LCM(9843,9849) = 32314569
LCM of 9843 and 9849
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9843 and 9849 by Prime method
- Least Common Multiple of 9843 and 9849 with GCF Formula
LCM of 9843 and 9849 is 32314569
Least common multiple can be found by multiplying the highest exponent prime factors of 9843 and 9849. First we will calculate the prime factors of 9843 and 9849.
Prime Factorization of 9843
| 3 | 9843 |
| 17 | 3281 |
| 193 | 193 |
| 1 |
Prime factors of 9843 are 3, 17,193. Prime factorization of 9843 in exponential form is:
9843 = 31×171×1931
Prime Factorization of 9849
| 3 | 9849 |
| 7 | 3283 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 9849 are 3, 7,67. Prime factorization of 9849 in exponential form is:
9849 = 31×72×671
Now multiplying the highest exponent prime factors to calculate the LCM of 9843 and 9849.
LCM(9843,9849) = 31×72×171×671×1931
LCM(9843,9849) = 32314569
Factors of 9843
List of positive integer factors of 9843 that divides 9843 without a remainder.
1, 3, 17, 51, 193, 579, 3281, 9843
Factors of 9849
List of positive integer factors of 9849 that divides 9849 without a remainder.
1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
Least Common Multiple of 9843 and 9849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9843 and 9849, than apply into the LCM equation.
GCF(9843,9849) = 3
LCM(9843,9849) = ( 9843 × 9849) / 3
LCM(9843,9849) = 96943707 / 3
LCM(9843,9849) = 32314569
Properties of LCM 9843 and 9849
(i) The LCM of 9849 and 9843 is associative
LCM of 9843 and 9849 = LCM of 9849 and 9843
Related Least Common Multiples of 9843
Related Least Common Multiples of 9849
Frequently Asked Questions on LCM of 9843 and 9849
1. What is the LCM of 9843 and 9849?
Answer: LCM of 9843 and 9849 is 32314569.
2. What are the Factors of 9843?
Answer: Factors of 9843 are 1, 3, 17, 51, 193, 579, 3281, 9843. There are 8 integers that are factors of 9843. The greatest factor of 9843 is 9843.
3. What are the Factors of 9849?
Answer: Factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849. There are 12 integers that are factors of 9849. The greatest factor of 9849 is 9849.
4. How to Find the LCM of 9843 and 9849?
Answer:
Least Common Multiple of 9843 and 9849 = 32314569
Step 1: Find the prime factorization of 9843
9843 = 3 x 17 x 193
Step 2: Find the prime factorization of 9849
9849 = 3 x 7 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32314569 = 3 x 7 x 7 x 17 x 67 x 193
Step 4: Therefore, the least common multiple of 9843 and 9849 is 32314569.