Least Common Multiple of 9723 and 9731
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9723 and 9731 the smallest integer that is 94614513 that is divisible by both numbers.
Least Common Multiple (LCM) of 9723 and 9731 is 94614513.
LCM(9723,9731) = 94614513
LCM of 9723 and 9731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9723 and 9731 by Prime method
- Least Common Multiple of 9723 and 9731 with GCF Formula
LCM of 9723 and 9731 is 94614513
Least common multiple can be found by multiplying the highest exponent prime factors of 9723 and 9731. First we will calculate the prime factors of 9723 and 9731.
Prime Factorization of 9723
| 3 | 9723 |
| 7 | 3241 |
| 463 | 463 |
| 1 |
Prime factors of 9723 are 3, 7,463. Prime factorization of 9723 in exponential form is:
9723 = 31×71×4631
Prime Factorization of 9731
| 37 | 9731 |
| 263 | 263 |
| 1 |
Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:
9731 = 371×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 9723 and 9731.
LCM(9723,9731) = 31×71×371×2631×4631
LCM(9723,9731) = 94614513
Factors of 9723
List of positive integer factors of 9723 that divides 9723 without a remainder.
1, 3, 7, 21, 463, 1389, 3241, 9723
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1, 37, 263, 9731
Least Common Multiple of 9723 and 9731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9723 and 9731, than apply into the LCM equation.
GCF(9723,9731) = 1
LCM(9723,9731) = ( 9723 × 9731) / 1
LCM(9723,9731) = 94614513 / 1
LCM(9723,9731) = 94614513
Properties of LCM 9723 and 9731
(i) The LCM of 9731 and 9723 is associative
LCM of 9723 and 9731 = LCM of 9731 and 9723
Related Least Common Multiples of 9723
Related Least Common Multiples of 9731
Frequently Asked Questions on LCM of 9723 and 9731
1. What is the LCM of 9723 and 9731?
Answer: LCM of 9723 and 9731 is 94614513.
2. What are the Factors of 9723?
Answer: Factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. There are 8 integers that are factors of 9723. The greatest factor of 9723 is 9723.
3. What are the Factors of 9731?
Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.
4. How to Find the LCM of 9723 and 9731?
Answer:
Least Common Multiple of 9723 and 9731 = 94614513
Step 1: Find the prime factorization of 9723
9723 = 3 x 7 x 463
Step 2: Find the prime factorization of 9731
9731 = 37 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94614513 = 3 x 7 x 37 x 263 x 463
Step 4: Therefore, the least common multiple of 9723 and 9731 is 94614513.