Least Common Multiple of 9673 and 9681
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9673 and 9681 the smallest integer that is 93644313 that is divisible by both numbers.
Least Common Multiple (LCM) of 9673 and 9681 is 93644313.
LCM(9673,9681) = 93644313
LCM of 9673 and 9681
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9673 and 9681 by Prime method
- Least Common Multiple of 9673 and 9681 with GCF Formula
LCM of 9673 and 9681 is 93644313
Least common multiple can be found by multiplying the highest exponent prime factors of 9673 and 9681. First we will calculate the prime factors of 9673 and 9681.
Prime Factorization of 9673
| 17 | 9673 |
| 569 | 569 |
| 1 |
Prime factors of 9673 are 17,569. Prime factorization of 9673 in exponential form is:
9673 = 171×5691
Prime Factorization of 9681
| 3 | 9681 |
| 7 | 3227 |
| 461 | 461 |
| 1 |
Prime factors of 9681 are 3, 7,461. Prime factorization of 9681 in exponential form is:
9681 = 31×71×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 9673 and 9681.
LCM(9673,9681) = 31×71×171×4611×5691
LCM(9673,9681) = 93644313
Factors of 9673
List of positive integer factors of 9673 that divides 9673 without a remainder.
1, 17, 569, 9673
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1, 3, 7, 21, 461, 1383, 3227, 9681
Least Common Multiple of 9673 and 9681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9673 and 9681, than apply into the LCM equation.
GCF(9673,9681) = 1
LCM(9673,9681) = ( 9673 × 9681) / 1
LCM(9673,9681) = 93644313 / 1
LCM(9673,9681) = 93644313
Properties of LCM 9673 and 9681
(i) The LCM of 9681 and 9673 is associative
LCM of 9673 and 9681 = LCM of 9681 and 9673
Related Least Common Multiples of 9673
Related Least Common Multiples of 9681
Frequently Asked Questions on LCM of 9673 and 9681
1. What is the LCM of 9673 and 9681?
Answer: LCM of 9673 and 9681 is 93644313.
2. What are the Factors of 9673?
Answer: Factors of 9673 are 1, 17, 569, 9673. There are 4 integers that are factors of 9673. The greatest factor of 9673 is 9673.
3. What are the Factors of 9681?
Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.
4. How to Find the LCM of 9673 and 9681?
Answer:
Least Common Multiple of 9673 and 9681 = 93644313
Step 1: Find the prime factorization of 9673
9673 = 17 x 569
Step 2: Find the prime factorization of 9681
9681 = 3 x 7 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93644313 = 3 x 7 x 17 x 461 x 569
Step 4: Therefore, the least common multiple of 9673 and 9681 is 93644313.