Least Common Multiple of 9797 and 9804
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9797 and 9804 the smallest integer that is 96049788 that is divisible by both numbers.
Least Common Multiple (LCM) of 9797 and 9804 is 96049788.
LCM(9797,9804) = 96049788
LCM of 9797 and 9804
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9797 and 9804 by Prime method
- Least Common Multiple of 9797 and 9804 with GCF Formula
LCM of 9797 and 9804 is 96049788
Least common multiple can be found by multiplying the highest exponent prime factors of 9797 and 9804. First we will calculate the prime factors of 9797 and 9804.
Prime Factorization of 9797
| 97 | 9797 |
| 101 | 101 |
| 1 |
Prime factors of 9797 are 97,101. Prime factorization of 9797 in exponential form is:
9797 = 971×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9797 and 9804.
LCM(9797,9804) = 22×31×191×431×971×1011
LCM(9797,9804) = 96049788
Factors of 9797
List of positive integer factors of 9797 that divides 9797 without a remainder.
1, 97, 101, 9797
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
Least Common Multiple of 9797 and 9804 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9797 and 9804, than apply into the LCM equation.
GCF(9797,9804) = 1
LCM(9797,9804) = ( 9797 × 9804) / 1
LCM(9797,9804) = 96049788 / 1
LCM(9797,9804) = 96049788
Properties of LCM 9797 and 9804
(i) The LCM of 9804 and 9797 is associative
LCM of 9797 and 9804 = LCM of 9804 and 9797
Related Least Common Multiples of 9797
Related Least Common Multiples of 9804
Frequently Asked Questions on LCM of 9797 and 9804
1. What is the LCM of 9797 and 9804?
Answer: LCM of 9797 and 9804 is 96049788.
2. What are the Factors of 9797?
Answer: Factors of 9797 are 1, 97, 101, 9797. There are 4 integers that are factors of 9797. The greatest factor of 9797 is 9797.
3. 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.
4. How to Find the LCM of 9797 and 9804?
Answer:
Least Common Multiple of 9797 and 9804 = 96049788
Step 1: Find the prime factorization of 9797
9797 = 97 x 101
Step 2: Find the prime factorization of 9804
9804 = 2 x 2 x 3 x 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96049788 = 2 x 2 x 3 x 19 x 43 x 97 x 101
Step 4: Therefore, the least common multiple of 9797 and 9804 is 96049788.