Least Common Multiple of 9794 and 9799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9794 and 9799 the smallest integer that is 95971406 that is divisible by both numbers.
Least Common Multiple (LCM) of 9794 and 9799 is 95971406.
LCM(9794,9799) = 95971406
LCM of 9794 and 9799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9794 and 9799 by Prime method
- Least Common Multiple of 9794 and 9799 with GCF Formula
LCM of 9794 and 9799 is 95971406
Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9799. First we will calculate the prime factors of 9794 and 9799.
Prime Factorization of 9794
| 2 | 9794 |
| 59 | 4897 |
| 83 | 83 |
| 1 |
Prime factors of 9794 are 2, 59,83. Prime factorization of 9794 in exponential form is:
9794 = 21×591×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9794 and 9799.
LCM(9794,9799) = 21×411×591×831×2391
LCM(9794,9799) = 95971406
Factors of 9794
List of positive integer factors of 9794 that divides 9794 without a remainder.
1, 2, 59, 83, 118, 166, 4897, 9794
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1, 41, 239, 9799
Least Common Multiple of 9794 and 9799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9794 and 9799, than apply into the LCM equation.
GCF(9794,9799) = 1
LCM(9794,9799) = ( 9794 × 9799) / 1
LCM(9794,9799) = 95971406 / 1
LCM(9794,9799) = 95971406
Properties of LCM 9794 and 9799
(i) The LCM of 9799 and 9794 is associative
LCM of 9794 and 9799 = LCM of 9799 and 9794
Related Least Common Multiples of 9794
Related Least Common Multiples of 9799
Frequently Asked Questions on LCM of 9794 and 9799
1. What is the LCM of 9794 and 9799?
Answer: LCM of 9794 and 9799 is 95971406.
2. What are the Factors of 9794?
Answer: Factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794. There are 8 integers that are factors of 9794. The greatest factor of 9794 is 9794.
3. 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.
4. How to Find the LCM of 9794 and 9799?
Answer:
Least Common Multiple of 9794 and 9799 = 95971406
Step 1: Find the prime factorization of 9794
9794 = 2 x 59 x 83
Step 2: Find the prime factorization of 9799
9799 = 41 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95971406 = 2 x 41 x 59 x 83 x 239
Step 4: Therefore, the least common multiple of 9794 and 9799 is 95971406.