Least Common Multiple of 9793 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 9793 and 9799 the smallest integer that is 95961607 that is divisible by both numbers.
Least Common Multiple (LCM) of 9793 and 9799 is 95961607.
LCM(9793,9799) = 95961607
LCM of 9793 and 9799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9793 and 9799 by Prime method
- Least Common Multiple of 9793 and 9799 with GCF Formula
LCM of 9793 and 9799 is 95961607
Least common multiple can be found by multiplying the highest exponent prime factors of 9793 and 9799. First we will calculate the prime factors of 9793 and 9799.
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 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 9793 and 9799.
LCM(9793,9799) = 71×411×2391×13991
LCM(9793,9799) = 95961607
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1, 7, 1399, 9793
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1, 41, 239, 9799
Least Common Multiple of 9793 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 9793 and 9799, than apply into the LCM equation.
GCF(9793,9799) = 1
LCM(9793,9799) = ( 9793 × 9799) / 1
LCM(9793,9799) = 95961607 / 1
LCM(9793,9799) = 95961607
Properties of LCM 9793 and 9799
(i) The LCM of 9799 and 9793 is associative
LCM of 9793 and 9799 = LCM of 9799 and 9793
Related Least Common Multiples of 9793
Related Least Common Multiples of 9799
Frequently Asked Questions on LCM of 9793 and 9799
1. What is the LCM of 9793 and 9799?
Answer: LCM of 9793 and 9799 is 95961607.
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 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 9793 and 9799?
Answer:
Least Common Multiple of 9793 and 9799 = 95961607
Step 1: Find the prime factorization of 9793
9793 = 7 x 1399
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 = 95961607 = 7 x 41 x 239 x 1399
Step 4: Therefore, the least common multiple of 9793 and 9799 is 95961607.