Least Common Multiple of 9831 and 9834
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9831 and 9834 the smallest integer that is 32226018 that is divisible by both numbers.
Least Common Multiple (LCM) of 9831 and 9834 is 32226018.
LCM(9831,9834) = 32226018
LCM of 9831 and 9834
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9831 and 9834 by Prime method
- Least Common Multiple of 9831 and 9834 with GCF Formula
LCM of 9831 and 9834 is 32226018
Least common multiple can be found by multiplying the highest exponent prime factors of 9831 and 9834. First we will calculate the prime factors of 9831 and 9834.
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
Prime Factorization of 9834
| 2 | 9834 |
| 3 | 4917 |
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 9834 are 2, 3, 11,149. Prime factorization of 9834 in exponential form is:
9834 = 21×31×111×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 9831 and 9834.
LCM(9831,9834) = 21×31×111×291×1131×1491
LCM(9831,9834) = 32226018
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1, 3, 29, 87, 113, 339, 3277, 9831
Factors of 9834
List of positive integer factors of 9834 that divides 9834 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
Least Common Multiple of 9831 and 9834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9831 and 9834, than apply into the LCM equation.
GCF(9831,9834) = 3
LCM(9831,9834) = ( 9831 × 9834) / 3
LCM(9831,9834) = 96678054 / 3
LCM(9831,9834) = 32226018
Properties of LCM 9831 and 9834
(i) The LCM of 9834 and 9831 is associative
LCM of 9831 and 9834 = LCM of 9834 and 9831
Related Least Common Multiples of 9831
Related Least Common Multiples of 9834
Frequently Asked Questions on LCM of 9831 and 9834
1. What is the LCM of 9831 and 9834?
Answer: LCM of 9831 and 9834 is 32226018.
2. 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.
3. What are the Factors of 9834?
Answer: Factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834. There are 16 integers that are factors of 9834. The greatest factor of 9834 is 9834.
4. How to Find the LCM of 9831 and 9834?
Answer:
Least Common Multiple of 9831 and 9834 = 32226018
Step 1: Find the prime factorization of 9831
9831 = 3 x 29 x 113
Step 2: Find the prime factorization of 9834
9834 = 2 x 3 x 11 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32226018 = 2 x 3 x 11 x 29 x 113 x 149
Step 4: Therefore, the least common multiple of 9831 and 9834 is 32226018.