Least Common Multiple of 9756 and 9761
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 9761 the smallest integer that is 95228316 that is divisible by both numbers.
Least Common Multiple (LCM) of 9756 and 9761 is 95228316.
LCM(9756,9761) = 95228316
LCM of 9756 and 9761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9756 and 9761 by Prime method
- Least Common Multiple of 9756 and 9761 with GCF Formula
LCM of 9756 and 9761 is 95228316
Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9761. First we will calculate the prime factors of 9756 and 9761.
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 9761
| 43 | 9761 |
| 227 | 227 |
| 1 |
Prime factors of 9761 are 43,227. Prime factorization of 9761 in exponential form is:
9761 = 431×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9761.
LCM(9756,9761) = 22×32×431×2271×2711
LCM(9756,9761) = 95228316
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 9761
List of positive integer factors of 9761 that divides 9761 without a remainder.
1, 43, 227, 9761
Least Common Multiple of 9756 and 9761 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 9761, than apply into the LCM equation.
GCF(9756,9761) = 1
LCM(9756,9761) = ( 9756 × 9761) / 1
LCM(9756,9761) = 95228316 / 1
LCM(9756,9761) = 95228316
Properties of LCM 9756 and 9761
(i) The LCM of 9761 and 9756 is associative
LCM of 9756 and 9761 = LCM of 9761 and 9756
Related Least Common Multiples of 9756
Related Least Common Multiples of 9761
Frequently Asked Questions on LCM of 9756 and 9761
1. What is the LCM of 9756 and 9761?
Answer: LCM of 9756 and 9761 is 95228316.
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 9761?
Answer: Factors of 9761 are 1, 43, 227, 9761. There are 4 integers that are factors of 9761. The greatest factor of 9761 is 9761.
4. How to Find the LCM of 9756 and 9761?
Answer:
Least Common Multiple of 9756 and 9761 = 95228316
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 9761
9761 = 43 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95228316 = 2 x 2 x 3 x 3 x 43 x 227 x 271
Step 4: Therefore, the least common multiple of 9756 and 9761 is 95228316.