Least Common Multiple of 9843 and 9851
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 9851 the smallest integer that is 96963393 that is divisible by both numbers.
Least Common Multiple (LCM) of 9843 and 9851 is 96963393.
LCM(9843,9851) = 96963393
LCM of 9843 and 9851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9843 and 9851 by Prime method
- Least Common Multiple of 9843 and 9851 with GCF Formula
LCM of 9843 and 9851 is 96963393
Least common multiple can be found by multiplying the highest exponent prime factors of 9843 and 9851. First we will calculate the prime factors of 9843 and 9851.
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 9851
| 9851 | 9851 |
| 1 |
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Now multiplying the highest exponent prime factors to calculate the LCM of 9843 and 9851.
LCM(9843,9851) = 31×171×1931×98511
LCM(9843,9851) = 96963393
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 9851
List of positive integer factors of 9851 that divides 9851 without a remainder.
1, 9851
Least Common Multiple of 9843 and 9851 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 9851, than apply into the LCM equation.
GCF(9843,9851) = 1
LCM(9843,9851) = ( 9843 × 9851) / 1
LCM(9843,9851) = 96963393 / 1
LCM(9843,9851) = 96963393
Properties of LCM 9843 and 9851
(i) The LCM of 9851 and 9843 is associative
LCM of 9843 and 9851 = LCM of 9851 and 9843
Related Least Common Multiples of 9843
Related Least Common Multiples of 9851
Frequently Asked Questions on LCM of 9843 and 9851
1. What is the LCM of 9843 and 9851?
Answer: LCM of 9843 and 9851 is 96963393.
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 9851?
Answer: Factors of 9851 are 1, 9851. There are 2 integers that are factors of 9851. The greatest factor of 9851 is 9851.
4. How to Find the LCM of 9843 and 9851?
Answer:
Least Common Multiple of 9843 and 9851 = 96963393
Step 1: Find the prime factorization of 9843
9843 = 3 x 17 x 193
Step 2: Find the prime factorization of 9851
9851 = 9851
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96963393 = 3 x 17 x 193 x 9851
Step 4: Therefore, the least common multiple of 9843 and 9851 is 96963393.