Least Common Multiple of 9756 and 9763
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9756 and 9763 the smallest integer that is 95247828 that is divisible by both numbers.
Least Common Multiple (LCM) of 9756 and 9763 is 95247828.
LCM(9756,9763) = 95247828
LCM of 9756 and 9763
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9756 and 9763 by Prime method
- Least Common Multiple of 9756 and 9763 with GCF Formula
LCM of 9756 and 9763 is 95247828
Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9763. First we will calculate the prime factors of 9756 and 9763.
Prime Factorization of 9756
| 2 | 9756 |
| 2 | 4878 |
| 3 | 2439 |
| 3 | 813 |
| 271 | 271 |
| 1 |
Prime factors of 9756 are 2, 3,271. Prime factorization of 9756 in exponential form is:
9756 = 22×32×2711
Prime Factorization of 9763
| 13 | 9763 |
| 751 | 751 |
| 1 |
Prime factors of 9763 are 13,751. Prime factorization of 9763 in exponential form is:
9763 = 131×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9763.
LCM(9756,9763) = 22×32×131×2711×7511
LCM(9756,9763) = 95247828
Factors of 9756
List of positive integer factors of 9756 that divides 9756 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
Factors of 9763
List of positive integer factors of 9763 that divides 9763 without a remainder.
1, 13, 751, 9763
Least Common Multiple of 9756 and 9763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9756 and 9763, than apply into the LCM equation.
GCF(9756,9763) = 1
LCM(9756,9763) = ( 9756 × 9763) / 1
LCM(9756,9763) = 95247828 / 1
LCM(9756,9763) = 95247828
Properties of LCM 9756 and 9763
(i) The LCM of 9763 and 9756 is associative
LCM of 9756 and 9763 = LCM of 9763 and 9756
Related Least Common Multiples of 9756
Related Least Common Multiples of 9763
Frequently Asked Questions on LCM of 9756 and 9763
1. What is the LCM of 9756 and 9763?
Answer: LCM of 9756 and 9763 is 95247828.
2. What are the Factors of 9756?
Answer: Factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756. There are 18 integers that are factors of 9756. The greatest factor of 9756 is 9756.
3. What are the Factors of 9763?
Answer: Factors of 9763 are 1, 13, 751, 9763. There are 4 integers that are factors of 9763. The greatest factor of 9763 is 9763.
4. How to Find the LCM of 9756 and 9763?
Answer:
Least Common Multiple of 9756 and 9763 = 95247828
Step 1: Find the prime factorization of 9756
9756 = 2 x 2 x 3 x 3 x 271
Step 2: Find the prime factorization of 9763
9763 = 13 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95247828 = 2 x 2 x 3 x 3 x 13 x 271 x 751
Step 4: Therefore, the least common multiple of 9756 and 9763 is 95247828.