Least Common Multiple of 9823 and 9831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9823 and 9831 the smallest integer that is 96569913 that is divisible by both numbers.
Least Common Multiple (LCM) of 9823 and 9831 is 96569913.
LCM(9823,9831) = 96569913
LCM of 9823 and 9831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9823 and 9831 by Prime method
- Least Common Multiple of 9823 and 9831 with GCF Formula
LCM of 9823 and 9831 is 96569913
Least common multiple can be found by multiplying the highest exponent prime factors of 9823 and 9831. First we will calculate the prime factors of 9823 and 9831.
Prime Factorization of 9823
| 11 | 9823 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 9823 are 11, 19,47. Prime factorization of 9823 in exponential form is:
9823 = 111×191×471
Prime Factorization of 9831
| 3 | 9831 |
| 29 | 3277 |
| 113 | 113 |
| 1 |
Prime factors of 9831 are 3, 29,113. Prime factorization of 9831 in exponential form is:
9831 = 31×291×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 9823 and 9831.
LCM(9823,9831) = 31×111×191×291×471×1131
LCM(9823,9831) = 96569913
Factors of 9823
List of positive integer factors of 9823 that divides 9823 without a remainder.
1, 11, 19, 47, 209, 517, 893, 9823
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1, 3, 29, 87, 113, 339, 3277, 9831
Least Common Multiple of 9823 and 9831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9823 and 9831, than apply into the LCM equation.
GCF(9823,9831) = 1
LCM(9823,9831) = ( 9823 × 9831) / 1
LCM(9823,9831) = 96569913 / 1
LCM(9823,9831) = 96569913
Properties of LCM 9823 and 9831
(i) The LCM of 9831 and 9823 is associative
LCM of 9823 and 9831 = LCM of 9831 and 9823
Related Least Common Multiples of 9823
Related Least Common Multiples of 9831
Frequently Asked Questions on LCM of 9823 and 9831
1. What is the LCM of 9823 and 9831?
Answer: LCM of 9823 and 9831 is 96569913.
2. What are the Factors of 9823?
Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.
3. What are the Factors of 9831?
Answer: Factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831. There are 8 integers that are factors of 9831. The greatest factor of 9831 is 9831.
4. How to Find the LCM of 9823 and 9831?
Answer:
Least Common Multiple of 9823 and 9831 = 96569913
Step 1: Find the prime factorization of 9823
9823 = 11 x 19 x 47
Step 2: Find the prime factorization of 9831
9831 = 3 x 29 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96569913 = 3 x 11 x 19 x 29 x 47 x 113
Step 4: Therefore, the least common multiple of 9823 and 9831 is 96569913.