Least Common Multiple of 9785 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 9785 and 9793 the smallest integer that is 95824505 that is divisible by both numbers.
Least Common Multiple (LCM) of 9785 and 9793 is 95824505.
LCM(9785,9793) = 95824505
LCM of 9785 and 9793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9785 and 9793 by Prime method
- Least Common Multiple of 9785 and 9793 with GCF Formula
LCM of 9785 and 9793 is 95824505
Least common multiple can be found by multiplying the highest exponent prime factors of 9785 and 9793. First we will calculate the prime factors of 9785 and 9793.
Prime Factorization of 9785
| 5 | 9785 |
| 19 | 1957 |
| 103 | 103 |
| 1 |
Prime factors of 9785 are 5, 19,103. Prime factorization of 9785 in exponential form is:
9785 = 51×191×1031
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 9785 and 9793.
LCM(9785,9793) = 51×71×191×1031×13991
LCM(9785,9793) = 95824505
Factors of 9785
List of positive integer factors of 9785 that divides 9785 without a remainder.
1, 5, 19, 95, 103, 515, 1957, 9785
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1, 7, 1399, 9793
Least Common Multiple of 9785 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 9785 and 9793, than apply into the LCM equation.
GCF(9785,9793) = 1
LCM(9785,9793) = ( 9785 × 9793) / 1
LCM(9785,9793) = 95824505 / 1
LCM(9785,9793) = 95824505
Properties of LCM 9785 and 9793
(i) The LCM of 9793 and 9785 is associative
LCM of 9785 and 9793 = LCM of 9793 and 9785
Related Least Common Multiples of 9785
Related Least Common Multiples of 9793
Frequently Asked Questions on LCM of 9785 and 9793
1. What is the LCM of 9785 and 9793?
Answer: LCM of 9785 and 9793 is 95824505.
2. What are the Factors of 9785?
Answer: Factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785. There are 8 integers that are factors of 9785. The greatest factor of 9785 is 9785.
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 9785 and 9793?
Answer:
Least Common Multiple of 9785 and 9793 = 95824505
Step 1: Find the prime factorization of 9785
9785 = 5 x 19 x 103
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 = 95824505 = 5 x 7 x 19 x 103 x 1399
Step 4: Therefore, the least common multiple of 9785 and 9793 is 95824505.