Least Common Multiple of 9799 and 9806
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 9806 the smallest integer that is 96088994 that is divisible by both numbers.
Least Common Multiple (LCM) of 9799 and 9806 is 96088994.
LCM(9799,9806) = 96088994
LCM of 9799 and 9806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9799 and 9806 by Prime method
- Least Common Multiple of 9799 and 9806 with GCF Formula
LCM of 9799 and 9806 is 96088994
Least common multiple can be found by multiplying the highest exponent prime factors of 9799 and 9806. First we will calculate the prime factors of 9799 and 9806.
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 9806
| 2 | 9806 |
| 4903 | 4903 |
| 1 |
Prime factors of 9806 are 2,4903. Prime factorization of 9806 in exponential form is:
9806 = 21×49031
Now multiplying the highest exponent prime factors to calculate the LCM of 9799 and 9806.
LCM(9799,9806) = 21×411×2391×49031
LCM(9799,9806) = 96088994
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1, 41, 239, 9799
Factors of 9806
List of positive integer factors of 9806 that divides 9806 without a remainder.
1, 2, 4903, 9806
Least Common Multiple of 9799 and 9806 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 9806, than apply into the LCM equation.
GCF(9799,9806) = 1
LCM(9799,9806) = ( 9799 × 9806) / 1
LCM(9799,9806) = 96088994 / 1
LCM(9799,9806) = 96088994
Properties of LCM 9799 and 9806
(i) The LCM of 9806 and 9799 is associative
LCM of 9799 and 9806 = LCM of 9806 and 9799
Related Least Common Multiples of 9799
Related Least Common Multiples of 9806
Frequently Asked Questions on LCM of 9799 and 9806
1. What is the LCM of 9799 and 9806?
Answer: LCM of 9799 and 9806 is 96088994.
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 9806?
Answer: Factors of 9806 are 1, 2, 4903, 9806. There are 4 integers that are factors of 9806. The greatest factor of 9806 is 9806.
4. How to Find the LCM of 9799 and 9806?
Answer:
Least Common Multiple of 9799 and 9806 = 96088994
Step 1: Find the prime factorization of 9799
9799 = 41 x 239
Step 2: Find the prime factorization of 9806
9806 = 2 x 4903
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96088994 = 2 x 41 x 239 x 4903
Step 4: Therefore, the least common multiple of 9799 and 9806 is 96088994.