Least Common Multiple of 9646 and 9653
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9646 and 9653 the smallest integer that is 13301834 that is divisible by both numbers.
Least Common Multiple (LCM) of 9646 and 9653 is 13301834.
LCM(9646,9653) = 13301834
LCM of 9646 and 9653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9646 and 9653 by Prime method
- Least Common Multiple of 9646 and 9653 with GCF Formula
LCM of 9646 and 9653 is 13301834
Least common multiple can be found by multiplying the highest exponent prime factors of 9646 and 9653. First we will calculate the prime factors of 9646 and 9653.
Prime Factorization of 9646
| 2 | 9646 |
| 7 | 4823 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 9646 are 2, 7, 13,53. Prime factorization of 9646 in exponential form is:
9646 = 21×71×131×531
Prime Factorization of 9653
| 7 | 9653 |
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 9653 are 7,197. Prime factorization of 9653 in exponential form is:
9653 = 72×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 9646 and 9653.
LCM(9646,9653) = 21×72×131×531×1971
LCM(9646,9653) = 13301834
Factors of 9646
List of positive integer factors of 9646 that divides 9646 without a remainder.
1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
Factors of 9653
List of positive integer factors of 9653 that divides 9653 without a remainder.
1, 7, 49, 197, 1379, 9653
Least Common Multiple of 9646 and 9653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9646 and 9653, than apply into the LCM equation.
GCF(9646,9653) = 7
LCM(9646,9653) = ( 9646 × 9653) / 7
LCM(9646,9653) = 93112838 / 7
LCM(9646,9653) = 13301834
Properties of LCM 9646 and 9653
(i) The LCM of 9653 and 9646 is associative
LCM of 9646 and 9653 = LCM of 9653 and 9646
Related Least Common Multiples of 9646
Related Least Common Multiples of 9653
Frequently Asked Questions on LCM of 9646 and 9653
1. What is the LCM of 9646 and 9653?
Answer: LCM of 9646 and 9653 is 13301834.
2. What are the Factors of 9646?
Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.
3. What are the Factors of 9653?
Answer: Factors of 9653 are 1, 7, 49, 197, 1379, 9653. There are 6 integers that are factors of 9653. The greatest factor of 9653 is 9653.
4. How to Find the LCM of 9646 and 9653?
Answer:
Least Common Multiple of 9646 and 9653 = 13301834
Step 1: Find the prime factorization of 9646
9646 = 2 x 7 x 13 x 53
Step 2: Find the prime factorization of 9653
9653 = 7 x 7 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13301834 = 2 x 7 x 7 x 13 x 53 x 197
Step 4: Therefore, the least common multiple of 9646 and 9653 is 13301834.