Least Common Multiple of 9804 and 9809
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9804 and 9809 the smallest integer that is 96167436 that is divisible by both numbers.
Least Common Multiple (LCM) of 9804 and 9809 is 96167436.
LCM(9804,9809) = 96167436
LCM of 9804 and 9809
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9804 and 9809 by Prime method
- Least Common Multiple of 9804 and 9809 with GCF Formula
LCM of 9804 and 9809 is 96167436
Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9809. First we will calculate the prime factors of 9804 and 9809.
Prime Factorization of 9804
| 2 | 9804 |
| 2 | 4902 |
| 3 | 2451 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 9804 are 2, 3, 19,43. Prime factorization of 9804 in exponential form is:
9804 = 22×31×191×431
Prime Factorization of 9809
| 17 | 9809 |
| 577 | 577 |
| 1 |
Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:
9809 = 171×5771
Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9809.
LCM(9804,9809) = 22×31×171×191×431×5771
LCM(9804,9809) = 96167436
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
Factors of 9809
List of positive integer factors of 9809 that divides 9809 without a remainder.
1, 17, 577, 9809
Least Common Multiple of 9804 and 9809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9804 and 9809, than apply into the LCM equation.
GCF(9804,9809) = 1
LCM(9804,9809) = ( 9804 × 9809) / 1
LCM(9804,9809) = 96167436 / 1
LCM(9804,9809) = 96167436
Properties of LCM 9804 and 9809
(i) The LCM of 9809 and 9804 is associative
LCM of 9804 and 9809 = LCM of 9809 and 9804
Related Least Common Multiples of 9804
Related Least Common Multiples of 9809
Frequently Asked Questions on LCM of 9804 and 9809
1. What is the LCM of 9804 and 9809?
Answer: LCM of 9804 and 9809 is 96167436.
2. What are the Factors of 9804?
Answer: Factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804. There are 24 integers that are factors of 9804. The greatest factor of 9804 is 9804.
3. What are the Factors of 9809?
Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.
4. How to Find the LCM of 9804 and 9809?
Answer:
Least Common Multiple of 9804 and 9809 = 96167436
Step 1: Find the prime factorization of 9804
9804 = 2 x 2 x 3 x 19 x 43
Step 2: Find the prime factorization of 9809
9809 = 17 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96167436 = 2 x 2 x 3 x 17 x 19 x 43 x 577
Step 4: Therefore, the least common multiple of 9804 and 9809 is 96167436.
