Least Common Multiple of 9853 and 9858
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9853 and 9858 the smallest integer that is 97130874 that is divisible by both numbers.
Least Common Multiple (LCM) of 9853 and 9858 is 97130874.
LCM(9853,9858) = 97130874
LCM of 9853 and 9858
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9853 and 9858 by Prime method
- Least Common Multiple of 9853 and 9858 with GCF Formula
LCM of 9853 and 9858 is 97130874
Least common multiple can be found by multiplying the highest exponent prime factors of 9853 and 9858. First we will calculate the prime factors of 9853 and 9858.
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
Prime Factorization of 9858
| 2 | 9858 |
| 3 | 4929 |
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 9858 are 2, 3, 31,53. Prime factorization of 9858 in exponential form is:
9858 = 21×31×311×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9853 and 9858.
LCM(9853,9858) = 21×31×311×531×591×1671
LCM(9853,9858) = 97130874
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1, 59, 167, 9853
Factors of 9858
List of positive integer factors of 9858 that divides 9858 without a remainder.
1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858
Least Common Multiple of 9853 and 9858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9853 and 9858, than apply into the LCM equation.
GCF(9853,9858) = 1
LCM(9853,9858) = ( 9853 × 9858) / 1
LCM(9853,9858) = 97130874 / 1
LCM(9853,9858) = 97130874
Properties of LCM 9853 and 9858
(i) The LCM of 9858 and 9853 is associative
LCM of 9853 and 9858 = LCM of 9858 and 9853
Related Least Common Multiples of 9853
Related Least Common Multiples of 9858
Frequently Asked Questions on LCM of 9853 and 9858
1. What is the LCM of 9853 and 9858?
Answer: LCM of 9853 and 9858 is 97130874.
2. 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.
3. What are the Factors of 9858?
Answer: Factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858. There are 16 integers that are factors of 9858. The greatest factor of 9858 is 9858.
4. How to Find the LCM of 9853 and 9858?
Answer:
Least Common Multiple of 9853 and 9858 = 97130874
Step 1: Find the prime factorization of 9853
9853 = 59 x 167
Step 2: Find the prime factorization of 9858
9858 = 2 x 3 x 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97130874 = 2 x 3 x 31 x 53 x 59 x 167
Step 4: Therefore, the least common multiple of 9853 and 9858 is 97130874.