Least Common Multiple of 9843 and 9850
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 9850 the smallest integer that is 96953550 that is divisible by both numbers.
Least Common Multiple (LCM) of 9843 and 9850 is 96953550.
LCM(9843,9850) = 96953550
LCM of 9843 and 9850
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9843 and 9850 by Prime method
- Least Common Multiple of 9843 and 9850 with GCF Formula
LCM of 9843 and 9850 is 96953550
Least common multiple can be found by multiplying the highest exponent prime factors of 9843 and 9850. First we will calculate the prime factors of 9843 and 9850.
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 9850
| 2 | 9850 |
| 5 | 4925 |
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 9850 are 2, 5,197. Prime factorization of 9850 in exponential form is:
9850 = 21×52×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 9843 and 9850.
LCM(9843,9850) = 21×31×52×171×1931×1971
LCM(9843,9850) = 96953550
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 9850
List of positive integer factors of 9850 that divides 9850 without a remainder.
1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
Least Common Multiple of 9843 and 9850 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 9850, than apply into the LCM equation.
GCF(9843,9850) = 1
LCM(9843,9850) = ( 9843 × 9850) / 1
LCM(9843,9850) = 96953550 / 1
LCM(9843,9850) = 96953550
Properties of LCM 9843 and 9850
(i) The LCM of 9850 and 9843 is associative
LCM of 9843 and 9850 = LCM of 9850 and 9843
Related Least Common Multiples of 9843
Related Least Common Multiples of 9850
Frequently Asked Questions on LCM of 9843 and 9850
1. What is the LCM of 9843 and 9850?
Answer: LCM of 9843 and 9850 is 96953550.
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 9850?
Answer: Factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850. There are 12 integers that are factors of 9850. The greatest factor of 9850 is 9850.
4. How to Find the LCM of 9843 and 9850?
Answer:
Least Common Multiple of 9843 and 9850 = 96953550
Step 1: Find the prime factorization of 9843
9843 = 3 x 17 x 193
Step 2: Find the prime factorization of 9850
9850 = 2 x 5 x 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96953550 = 2 x 3 x 5 x 5 x 17 x 193 x 197
Step 4: Therefore, the least common multiple of 9843 and 9850 is 96953550.