Least Common Multiple of 9785 and 9791
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 9791 the smallest integer that is 95804935 that is divisible by both numbers.
Least Common Multiple (LCM) of 9785 and 9791 is 95804935.
LCM(9785,9791) = 95804935
LCM of 9785 and 9791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9785 and 9791 by Prime method
- Least Common Multiple of 9785 and 9791 with GCF Formula
LCM of 9785 and 9791 is 95804935
Least common multiple can be found by multiplying the highest exponent prime factors of 9785 and 9791. First we will calculate the prime factors of 9785 and 9791.
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 9791
| 9791 | 9791 |
| 1 |
Prime factors of 9791 are 9791. Prime factorization of 9791 in exponential form is:
9791 = 97911
Now multiplying the highest exponent prime factors to calculate the LCM of 9785 and 9791.
LCM(9785,9791) = 51×191×1031×97911
LCM(9785,9791) = 95804935
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 9791
List of positive integer factors of 9791 that divides 9791 without a remainder.
1, 9791
Least Common Multiple of 9785 and 9791 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 9791, than apply into the LCM equation.
GCF(9785,9791) = 1
LCM(9785,9791) = ( 9785 × 9791) / 1
LCM(9785,9791) = 95804935 / 1
LCM(9785,9791) = 95804935
Properties of LCM 9785 and 9791
(i) The LCM of 9791 and 9785 is associative
LCM of 9785 and 9791 = LCM of 9791 and 9785
Related Least Common Multiples of 9785
Related Least Common Multiples of 9791
Frequently Asked Questions on LCM of 9785 and 9791
1. What is the LCM of 9785 and 9791?
Answer: LCM of 9785 and 9791 is 95804935.
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 9791?
Answer: Factors of 9791 are 1, 9791. There are 2 integers that are factors of 9791. The greatest factor of 9791 is 9791.
4. How to Find the LCM of 9785 and 9791?
Answer:
Least Common Multiple of 9785 and 9791 = 95804935
Step 1: Find the prime factorization of 9785
9785 = 5 x 19 x 103
Step 2: Find the prime factorization of 9791
9791 = 9791
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95804935 = 5 x 19 x 103 x 9791
Step 4: Therefore, the least common multiple of 9785 and 9791 is 95804935.