Least Common Multiple of 9799 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 9799 and 9804 the smallest integer that is 96069396 that is divisible by both numbers.
Least Common Multiple (LCM) of 9799 and 9804 is 96069396.
LCM(9799,9804) = 96069396
LCM of 9799 and 9804
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9799 and 9804 by Prime method
- Least Common Multiple of 9799 and 9804 with GCF Formula
LCM of 9799 and 9804 is 96069396
Least common multiple can be found by multiplying the highest exponent prime factors of 9799 and 9804. First we will calculate the prime factors of 9799 and 9804.
Prime Factorization of 9799
| 41 | 9799 |
| 239 | 239 |
| 1 |
Prime factors of 9799 are 41,239. Prime factorization of 9799 in exponential form is:
9799 = 411×2391
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 9799 and 9804.
LCM(9799,9804) = 22×31×191×411×431×2391
LCM(9799,9804) = 96069396
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1, 41, 239, 9799
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 9799 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 9799 and 9804, than apply into the LCM equation.
GCF(9799,9804) = 1
LCM(9799,9804) = ( 9799 × 9804) / 1
LCM(9799,9804) = 96069396 / 1
LCM(9799,9804) = 96069396
Properties of LCM 9799 and 9804
(i) The LCM of 9804 and 9799 is associative
LCM of 9799 and 9804 = LCM of 9804 and 9799
Related Least Common Multiples of 9799
Related Least Common Multiples of 9804
Frequently Asked Questions on LCM of 9799 and 9804
1. What is the LCM of 9799 and 9804?
Answer: LCM of 9799 and 9804 is 96069396.
2. What are the Factors of 9799?
Answer: Factors of 9799 are 1, 41, 239, 9799. There are 4 integers that are factors of 9799. The greatest factor of 9799 is 9799.
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 9799 and 9804?
Answer:
Least Common Multiple of 9799 and 9804 = 96069396
Step 1: Find the prime factorization of 9799
9799 = 41 x 239
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 = 96069396 = 2 x 2 x 3 x 19 x 41 x 43 x 239
Step 4: Therefore, the least common multiple of 9799 and 9804 is 96069396.