Least Common Multiple of 9842 and 9843
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9842 and 9843 the smallest integer that is 96874806 that is divisible by both numbers.
Least Common Multiple (LCM) of 9842 and 9843 is 96874806.
LCM(9842,9843) = 96874806
LCM of 9842 and 9843
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9842 and 9843 by Prime method
- Least Common Multiple of 9842 and 9843 with GCF Formula
LCM of 9842 and 9843 is 96874806
Least common multiple can be found by multiplying the highest exponent prime factors of 9842 and 9843. First we will calculate the prime factors of 9842 and 9843.
Prime Factorization of 9842
| 2 | 9842 |
| 7 | 4921 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 9842 are 2, 7, 19,37. Prime factorization of 9842 in exponential form is:
9842 = 21×71×191×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9842 and 9843.
LCM(9842,9843) = 21×31×71×171×191×371×1931
LCM(9842,9843) = 96874806
Factors of 9842
List of positive integer factors of 9842 that divides 9842 without a remainder.
1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842
Factors of 9843
List of positive integer factors of 9843 that divides 9843 without a remainder.
1, 3, 17, 51, 193, 579, 3281, 9843
Least Common Multiple of 9842 and 9843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9842 and 9843, than apply into the LCM equation.
GCF(9842,9843) = 1
LCM(9842,9843) = ( 9842 × 9843) / 1
LCM(9842,9843) = 96874806 / 1
LCM(9842,9843) = 96874806
Properties of LCM 9842 and 9843
(i) The LCM of 9843 and 9842 is associative
LCM of 9842 and 9843 = LCM of 9843 and 9842
Related Least Common Multiples of 9842
Related Least Common Multiples of 9843
Frequently Asked Questions on LCM of 9842 and 9843
1. What is the LCM of 9842 and 9843?
Answer: LCM of 9842 and 9843 is 96874806.
2. What are the Factors of 9842?
Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.
3. 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.
4. How to Find the LCM of 9842 and 9843?
Answer:
Least Common Multiple of 9842 and 9843 = 96874806
Step 1: Find the prime factorization of 9842
9842 = 2 x 7 x 19 x 37
Step 2: Find the prime factorization of 9843
9843 = 3 x 17 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96874806 = 2 x 3 x 7 x 17 x 19 x 37 x 193
Step 4: Therefore, the least common multiple of 9842 and 9843 is 96874806.