Least Common Multiple of 9849 and 9854
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9849 and 9854 the smallest integer that is 97052046 that is divisible by both numbers.
Least Common Multiple (LCM) of 9849 and 9854 is 97052046.
LCM(9849,9854) = 97052046
LCM of 9849 and 9854
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9849 and 9854 by Prime method
- Least Common Multiple of 9849 and 9854 with GCF Formula
LCM of 9849 and 9854 is 97052046
Least common multiple can be found by multiplying the highest exponent prime factors of 9849 and 9854. First we will calculate the prime factors of 9849 and 9854.
Prime Factorization of 9849
| 3 | 9849 |
| 7 | 3283 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 9849 are 3, 7,67. Prime factorization of 9849 in exponential form is:
9849 = 31×72×671
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 9849 and 9854.
LCM(9849,9854) = 21×31×72×131×671×3791
LCM(9849,9854) = 97052046
Factors of 9849
List of positive integer factors of 9849 that divides 9849 without a remainder.
1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
Factors of 9854
List of positive integer factors of 9854 that divides 9854 without a remainder.
1, 2, 13, 26, 379, 758, 4927, 9854
Least Common Multiple of 9849 and 9854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9849 and 9854, than apply into the LCM equation.
GCF(9849,9854) = 1
LCM(9849,9854) = ( 9849 × 9854) / 1
LCM(9849,9854) = 97052046 / 1
LCM(9849,9854) = 97052046
Properties of LCM 9849 and 9854
(i) The LCM of 9854 and 9849 is associative
LCM of 9849 and 9854 = LCM of 9854 and 9849
Related Least Common Multiples of 9849
Related Least Common Multiples of 9854
Frequently Asked Questions on LCM of 9849 and 9854
1. What is the LCM of 9849 and 9854?
Answer: LCM of 9849 and 9854 is 97052046.
2. What are the Factors of 9849?
Answer: Factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849. There are 12 integers that are factors of 9849. The greatest factor of 9849 is 9849.
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 9849 and 9854?
Answer:
Least Common Multiple of 9849 and 9854 = 97052046
Step 1: Find the prime factorization of 9849
9849 = 3 x 7 x 7 x 67
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 = 97052046 = 2 x 3 x 7 x 7 x 13 x 67 x 379
Step 4: Therefore, the least common multiple of 9849 and 9854 is 97052046.