Least Common Multiple of 9805 and 9811
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9805 and 9811 the smallest integer that is 96196855 that is divisible by both numbers.
Least Common Multiple (LCM) of 9805 and 9811 is 96196855.
LCM(9805,9811) = 96196855
LCM of 9805 and 9811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9805 and 9811 by Prime method
- Least Common Multiple of 9805 and 9811 with GCF Formula
LCM of 9805 and 9811 is 96196855
Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9811. First we will calculate the prime factors of 9805 and 9811.
Prime Factorization of 9805
| 5 | 9805 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:
9805 = 51×371×531
Prime Factorization of 9811
| 9811 | 9811 |
| 1 |
Prime factors of 9811 are 9811. Prime factorization of 9811 in exponential form is:
9811 = 98111
Now multiplying the highest exponent prime factors to calculate the LCM of 9805 and 9811.
LCM(9805,9811) = 51×371×531×98111
LCM(9805,9811) = 96196855
Factors of 9805
List of positive integer factors of 9805 that divides 9805 without a remainder.
1, 5, 37, 53, 185, 265, 1961, 9805
Factors of 9811
List of positive integer factors of 9811 that divides 9811 without a remainder.
1, 9811
Least Common Multiple of 9805 and 9811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9805 and 9811, than apply into the LCM equation.
GCF(9805,9811) = 1
LCM(9805,9811) = ( 9805 × 9811) / 1
LCM(9805,9811) = 96196855 / 1
LCM(9805,9811) = 96196855
Properties of LCM 9805 and 9811
(i) The LCM of 9811 and 9805 is associative
LCM of 9805 and 9811 = LCM of 9811 and 9805
Related Least Common Multiples of 9805
Related Least Common Multiples of 9811
Frequently Asked Questions on LCM of 9805 and 9811
1. What is the LCM of 9805 and 9811?
Answer: LCM of 9805 and 9811 is 96196855.
2. What are the Factors of 9805?
Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.
3. What are the Factors of 9811?
Answer: Factors of 9811 are 1, 9811. There are 2 integers that are factors of 9811. The greatest factor of 9811 is 9811.
4. How to Find the LCM of 9805 and 9811?
Answer:
Least Common Multiple of 9805 and 9811 = 96196855
Step 1: Find the prime factorization of 9805
9805 = 5 x 37 x 53
Step 2: Find the prime factorization of 9811
9811 = 9811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96196855 = 5 x 37 x 53 x 9811
Step 4: Therefore, the least common multiple of 9805 and 9811 is 96196855.
