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 9764 the smallest integer that is 23814396 that is divisible by both numbers.
Least Common Multiple (LCM) of 9756 and 9764 is 23814396.
LCM(9756,9764) = 23814396
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9764. First we will calculate the prime factors of 9756 and 9764.
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 9764
2 | 9764 |
2 | 4882 |
2441 | 2441 |
1 |
Prime factors of 9764 are 2,2441. Prime factorization of 9764 in exponential form is:
9764 = 22×24411
Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9764.
LCM(9756,9764) = 22×32×2711×24411
LCM(9756,9764) = 23814396
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 9764
List of positive integer factors of 9764 that divides 9764 without a remainder.
1, 2, 4, 2441, 4882, 9764
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9756 and 9764, than apply into the LCM equation.
GCF(9756,9764) = 4
LCM(9756,9764) = ( 9756 × 9764) / 4
LCM(9756,9764) = 95257584 / 4
LCM(9756,9764) = 23814396
(i) The LCM of 9764 and 9756 is associative
LCM of 9756 and 9764 = LCM of 9764 and 9756
1. What is the LCM of 9756 and 9764?
Answer: LCM of 9756 and 9764 is 23814396.
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 9764?
Answer: Factors of 9764 are 1, 2, 4, 2441, 4882, 9764. There are 6 integers that are factors of 9764. The greatest factor of 9764 is 9764.
4. How to Find the LCM of 9756 and 9764?
Answer:
Least Common Multiple of 9756 and 9764 = 23814396
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 9764
9764 = 2 x 2 x 2441
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23814396 = 2 x 2 x 3 x 3 x 271 x 2441
Step 4: Therefore, the least common multiple of 9756 and 9764 is 23814396.