Least Common Multiple of 9793 and 9798
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9793 and 9798 the smallest integer that is 95951814 that is divisible by both numbers.
Least Common Multiple (LCM) of 9793 and 9798 is 95951814.
LCM(9793,9798) = 95951814
LCM of 9793 and 9798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9793 and 9798 by Prime method
- Least Common Multiple of 9793 and 9798 with GCF Formula
LCM of 9793 and 9798 is 95951814
Least common multiple can be found by multiplying the highest exponent prime factors of 9793 and 9798. First we will calculate the prime factors of 9793 and 9798.
Prime Factorization of 9793
| 7 | 9793 |
| 1399 | 1399 |
| 1 |
Prime factors of 9793 are 7,1399. Prime factorization of 9793 in exponential form is:
9793 = 71×13991
Prime Factorization of 9798
| 2 | 9798 |
| 3 | 4899 |
| 23 | 1633 |
| 71 | 71 |
| 1 |
Prime factors of 9798 are 2, 3, 23,71. Prime factorization of 9798 in exponential form is:
9798 = 21×31×231×711
Now multiplying the highest exponent prime factors to calculate the LCM of 9793 and 9798.
LCM(9793,9798) = 21×31×71×231×711×13991
LCM(9793,9798) = 95951814
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1, 7, 1399, 9793
Factors of 9798
List of positive integer factors of 9798 that divides 9798 without a remainder.
1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
Least Common Multiple of 9793 and 9798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9793 and 9798, than apply into the LCM equation.
GCF(9793,9798) = 1
LCM(9793,9798) = ( 9793 × 9798) / 1
LCM(9793,9798) = 95951814 / 1
LCM(9793,9798) = 95951814
Properties of LCM 9793 and 9798
(i) The LCM of 9798 and 9793 is associative
LCM of 9793 and 9798 = LCM of 9798 and 9793
Related Least Common Multiples of 9793
Related Least Common Multiples of 9798
Frequently Asked Questions on LCM of 9793 and 9798
1. What is the LCM of 9793 and 9798?
Answer: LCM of 9793 and 9798 is 95951814.
2. What are the Factors of 9793?
Answer: Factors of 9793 are 1, 7, 1399, 9793. There are 4 integers that are factors of 9793. The greatest factor of 9793 is 9793.
3. What are the Factors of 9798?
Answer: Factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798. There are 16 integers that are factors of 9798. The greatest factor of 9798 is 9798.
4. How to Find the LCM of 9793 and 9798?
Answer:
Least Common Multiple of 9793 and 9798 = 95951814
Step 1: Find the prime factorization of 9793
9793 = 7 x 1399
Step 2: Find the prime factorization of 9798
9798 = 2 x 3 x 23 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95951814 = 2 x 3 x 7 x 23 x 71 x 1399
Step 4: Therefore, the least common multiple of 9793 and 9798 is 95951814.