Least Common Multiple of 9752 and 9756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9752 and 9756 the smallest integer that is 23785128 that is divisible by both numbers.

Least Common Multiple (LCM) of 9752 and 9756 is 23785128.

LCM(9752,9756) = 23785128

LCM of 9752 and 9756

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9752 and 9756

LCM of 9752 and 9756 is 23785128

Least common multiple can be found by multiplying the highest exponent prime factors of 9752 and 9756. First we will calculate the prime factors of 9752 and 9756.

Prime Factorization of 9752


2 9752
2 4876
2 2438
23 1219
53 53
1

Prime factors of 9752 are 2, 23,53. Prime factorization of 9752 in exponential form is:

9752 = 23×231×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9752 and 9756.

LCM(9752,9756) = 23×32×231×531×2711
LCM(9752,9756) = 23785128

Factors of 9752

List of positive integer factors of 9752 that divides 9752 without a remainder.

1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

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

Least Common Multiple of 9752 and 9756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9752 and 9756, than apply into the LCM equation.

GCF(9752,9756) = 4
LCM(9752,9756) = ( 9752 × 9756) / 4
LCM(9752,9756) = 95140512 / 4
LCM(9752,9756) = 23785128

Properties of LCM 9752 and 9756

(i) The LCM of 9756 and 9752 is associative

LCM of 9752 and 9756 = LCM of 9756 and 9752

Related Least Common Multiples of 9752

Related Least Common Multiples of 9756

Frequently Asked Questions on LCM of 9752 and 9756

1. What is the LCM of 9752 and 9756?

Answer: LCM of 9752 and 9756 is 23785128.

2. What are the Factors of 9752?

Answer: Factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752. There are 16 integers that are factors of 9752. The greatest factor of 9752 is 9752.

3. 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.

4. How to Find the LCM of 9752 and 9756?

Answer:

Least Common Multiple of 9752 and 9756 = 23785128

Step 1: Find the prime factorization of 9752

9752 = 2 x 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 9756

9756 = 2 x 2 x 3 x 3 x 271

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23785128 = 2 x 2 x 2 x 3 x 3 x 23 x 53 x 271

Step 4: Therefore, the least common multiple of 9752 and 9756 is 23785128.