Least Common Multiple of 9786 and 9793
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9786 and 9793 the smallest integer that is 13690614 that is divisible by both numbers.
Least Common Multiple (LCM) of 9786 and 9793 is 13690614.
LCM(9786,9793) = 13690614
LCM of 9786 and 9793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9786 and 9793 by Prime method
- Least Common Multiple of 9786 and 9793 with GCF Formula
LCM of 9786 and 9793 is 13690614
Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9793. First we will calculate the prime factors of 9786 and 9793.
Prime Factorization of 9786
| 2 | 9786 |
| 3 | 4893 |
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 9786 are 2, 3, 7,233. Prime factorization of 9786 in exponential form is:
9786 = 21×31×71×2331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9786 and 9793.
LCM(9786,9793) = 21×31×71×2331×13991
LCM(9786,9793) = 13690614
Factors of 9786
List of positive integer factors of 9786 that divides 9786 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1, 7, 1399, 9793
Least Common Multiple of 9786 and 9793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9786 and 9793, than apply into the LCM equation.
GCF(9786,9793) = 7
LCM(9786,9793) = ( 9786 × 9793) / 7
LCM(9786,9793) = 95834298 / 7
LCM(9786,9793) = 13690614
Properties of LCM 9786 and 9793
(i) The LCM of 9793 and 9786 is associative
LCM of 9786 and 9793 = LCM of 9793 and 9786
Related Least Common Multiples of 9786
Related Least Common Multiples of 9793
Frequently Asked Questions on LCM of 9786 and 9793
1. What is the LCM of 9786 and 9793?
Answer: LCM of 9786 and 9793 is 13690614.
2. What are the Factors of 9786?
Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.
3. 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.
4. How to Find the LCM of 9786 and 9793?
Answer:
Least Common Multiple of 9786 and 9793 = 13690614
Step 1: Find the prime factorization of 9786
9786 = 2 x 3 x 7 x 233
Step 2: Find the prime factorization of 9793
9793 = 7 x 1399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13690614 = 2 x 3 x 7 x 233 x 1399
Step 4: Therefore, the least common multiple of 9786 and 9793 is 13690614.