Least Common Multiple of 9799 and 9805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9799 and 9805 the smallest integer that is 96079195 that is divisible by both numbers.
Least Common Multiple (LCM) of 9799 and 9805 is 96079195.
LCM(9799,9805) = 96079195
LCM of 9799 and 9805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9799 and 9805 by Prime method
- Least Common Multiple of 9799 and 9805 with GCF Formula
LCM of 9799 and 9805 is 96079195
Least common multiple can be found by multiplying the highest exponent prime factors of 9799 and 9805. First we will calculate the prime factors of 9799 and 9805.
Prime Factorization of 9799
| 41 | 9799 |
| 239 | 239 |
| 1 |
Prime factors of 9799 are 41,239. Prime factorization of 9799 in exponential form is:
9799 = 411×2391
Prime Factorization of 9805
| 5 | 9805 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:
9805 = 51×371×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9799 and 9805.
LCM(9799,9805) = 51×371×411×531×2391
LCM(9799,9805) = 96079195
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1, 41, 239, 9799
Factors of 9805
List of positive integer factors of 9805 that divides 9805 without a remainder.
1, 5, 37, 53, 185, 265, 1961, 9805
Least Common Multiple of 9799 and 9805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9799 and 9805, than apply into the LCM equation.
GCF(9799,9805) = 1
LCM(9799,9805) = ( 9799 × 9805) / 1
LCM(9799,9805) = 96079195 / 1
LCM(9799,9805) = 96079195
Properties of LCM 9799 and 9805
(i) The LCM of 9805 and 9799 is associative
LCM of 9799 and 9805 = LCM of 9805 and 9799
Related Least Common Multiples of 9799
Related Least Common Multiples of 9805
Frequently Asked Questions on LCM of 9799 and 9805
1. What is the LCM of 9799 and 9805?
Answer: LCM of 9799 and 9805 is 96079195.
2. What are the Factors of 9799?
Answer: Factors of 9799 are 1, 41, 239, 9799. There are 4 integers that are factors of 9799. The greatest factor of 9799 is 9799.
3. What are the Factors of 9805?
Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.
4. How to Find the LCM of 9799 and 9805?
Answer:
Least Common Multiple of 9799 and 9805 = 96079195
Step 1: Find the prime factorization of 9799
9799 = 41 x 239
Step 2: Find the prime factorization of 9805
9805 = 5 x 37 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96079195 = 5 x 37 x 41 x 53 x 239
Step 4: Therefore, the least common multiple of 9799 and 9805 is 96079195.