Least Common Multiple of 9849 and 9853
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 9853 the smallest integer that is 97042197 that is divisible by both numbers.
Least Common Multiple (LCM) of 9849 and 9853 is 97042197.
LCM(9849,9853) = 97042197
LCM of 9849 and 9853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9849 and 9853 by Prime method
- Least Common Multiple of 9849 and 9853 with GCF Formula
LCM of 9849 and 9853 is 97042197
Least common multiple can be found by multiplying the highest exponent prime factors of 9849 and 9853. First we will calculate the prime factors of 9849 and 9853.
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 9853
| 59 | 9853 |
| 167 | 167 |
| 1 |
Prime factors of 9853 are 59,167. Prime factorization of 9853 in exponential form is:
9853 = 591×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 9849 and 9853.
LCM(9849,9853) = 31×72×591×671×1671
LCM(9849,9853) = 97042197
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 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1, 59, 167, 9853
Least Common Multiple of 9849 and 9853 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 9853, than apply into the LCM equation.
GCF(9849,9853) = 1
LCM(9849,9853) = ( 9849 × 9853) / 1
LCM(9849,9853) = 97042197 / 1
LCM(9849,9853) = 97042197
Properties of LCM 9849 and 9853
(i) The LCM of 9853 and 9849 is associative
LCM of 9849 and 9853 = LCM of 9853 and 9849
Related Least Common Multiples of 9849
Related Least Common Multiples of 9853
Frequently Asked Questions on LCM of 9849 and 9853
1. What is the LCM of 9849 and 9853?
Answer: LCM of 9849 and 9853 is 97042197.
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 9853?
Answer: Factors of 9853 are 1, 59, 167, 9853. There are 4 integers that are factors of 9853. The greatest factor of 9853 is 9853.
4. How to Find the LCM of 9849 and 9853?
Answer:
Least Common Multiple of 9849 and 9853 = 97042197
Step 1: Find the prime factorization of 9849
9849 = 3 x 7 x 7 x 67
Step 2: Find the prime factorization of 9853
9853 = 59 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97042197 = 3 x 7 x 7 x 59 x 67 x 167
Step 4: Therefore, the least common multiple of 9849 and 9853 is 97042197.