Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9846 and 9854 the smallest integer that is 48511242 that is divisible by both numbers.
Least Common Multiple (LCM) of 9846 and 9854 is 48511242.
LCM(9846,9854) = 48511242
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9846 and 9854. First we will calculate the prime factors of 9846 and 9854.
Prime Factorization of 9846
2 | 9846 |
3 | 4923 |
3 | 1641 |
547 | 547 |
1 |
Prime factors of 9846 are 2, 3,547. Prime factorization of 9846 in exponential form is:
9846 = 21×32×5471
Prime Factorization of 9854
2 | 9854 |
13 | 4927 |
379 | 379 |
1 |
Prime factors of 9854 are 2, 13,379. Prime factorization of 9854 in exponential form is:
9854 = 21×131×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 9846 and 9854.
LCM(9846,9854) = 21×32×131×3791×5471
LCM(9846,9854) = 48511242
Factors of 9846
List of positive integer factors of 9846 that divides 9846 without a remainder.
1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
Factors of 9854
List of positive integer factors of 9854 that divides 9854 without a remainder.
1, 2, 13, 26, 379, 758, 4927, 9854
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9846 and 9854, than apply into the LCM equation.
GCF(9846,9854) = 2
LCM(9846,9854) = ( 9846 × 9854) / 2
LCM(9846,9854) = 97022484 / 2
LCM(9846,9854) = 48511242
(i) The LCM of 9854 and 9846 is associative
LCM of 9846 and 9854 = LCM of 9854 and 9846
1. What is the LCM of 9846 and 9854?
Answer: LCM of 9846 and 9854 is 48511242.
2. What are the Factors of 9846?
Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.
3. What are the Factors of 9854?
Answer: Factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854. There are 8 integers that are factors of 9854. The greatest factor of 9854 is 9854.
4. How to Find the LCM of 9846 and 9854?
Answer:
Least Common Multiple of 9846 and 9854 = 48511242
Step 1: Find the prime factorization of 9846
9846 = 2 x 3 x 3 x 547
Step 2: Find the prime factorization of 9854
9854 = 2 x 13 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48511242 = 2 x 3 x 3 x 13 x 379 x 547
Step 4: Therefore, the least common multiple of 9846 and 9854 is 48511242.