Least Common Multiple of 9843 and 9847
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 9847 the smallest integer that is 96924021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9843 and 9847 is 96924021.
LCM(9843,9847) = 96924021
LCM of 9843 and 9847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9843 and 9847 by Prime method
- Least Common Multiple of 9843 and 9847 with GCF Formula
LCM of 9843 and 9847 is 96924021
Least common multiple can be found by multiplying the highest exponent prime factors of 9843 and 9847. First we will calculate the prime factors of 9843 and 9847.
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 9847
| 43 | 9847 |
| 229 | 229 |
| 1 |
Prime factors of 9847 are 43,229. Prime factorization of 9847 in exponential form is:
9847 = 431×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 9843 and 9847.
LCM(9843,9847) = 31×171×431×1931×2291
LCM(9843,9847) = 96924021
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 9847
List of positive integer factors of 9847 that divides 9847 without a remainder.
1, 43, 229, 9847
Least Common Multiple of 9843 and 9847 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 9847, than apply into the LCM equation.
GCF(9843,9847) = 1
LCM(9843,9847) = ( 9843 × 9847) / 1
LCM(9843,9847) = 96924021 / 1
LCM(9843,9847) = 96924021
Properties of LCM 9843 and 9847
(i) The LCM of 9847 and 9843 is associative
LCM of 9843 and 9847 = LCM of 9847 and 9843
Related Least Common Multiples of 9843
Related Least Common Multiples of 9847
Frequently Asked Questions on LCM of 9843 and 9847
1. What is the LCM of 9843 and 9847?
Answer: LCM of 9843 and 9847 is 96924021.
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 9847?
Answer: Factors of 9847 are 1, 43, 229, 9847. There are 4 integers that are factors of 9847. The greatest factor of 9847 is 9847.
4. How to Find the LCM of 9843 and 9847?
Answer:
Least Common Multiple of 9843 and 9847 = 96924021
Step 1: Find the prime factorization of 9843
9843 = 3 x 17 x 193
Step 2: Find the prime factorization of 9847
9847 = 43 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96924021 = 3 x 17 x 43 x 193 x 229
Step 4: Therefore, the least common multiple of 9843 and 9847 is 96924021.