Least Common Multiple of 9756 and 9759

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 9759 the smallest integer that is 31736268 that is divisible by both numbers.

Least Common Multiple (LCM) of 9756 and 9759 is 31736268.

LCM(9756,9759) = 31736268

LCM of 9756 and 9759

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

LCM of:
and

Least Common Multiple of 9756 and 9759

LCM of 9756 and 9759 is 31736268

Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9759. First we will calculate the prime factors of 9756 and 9759.

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 9759


3 9759
3253 3253
1

Prime factors of 9759 are 3,3253. Prime factorization of 9759 in exponential form is:

9759 = 31×32531

Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9759.

LCM(9756,9759) = 22×32×2711×32531
LCM(9756,9759) = 31736268

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 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1, 3, 3253, 9759

Least Common Multiple of 9756 and 9759 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 9759, than apply into the LCM equation.

GCF(9756,9759) = 3
LCM(9756,9759) = ( 9756 × 9759) / 3
LCM(9756,9759) = 95208804 / 3
LCM(9756,9759) = 31736268

Properties of LCM 9756 and 9759

(i) The LCM of 9759 and 9756 is associative

LCM of 9756 and 9759 = LCM of 9759 and 9756

Related Least Common Multiples of 9756

Related Least Common Multiples of 9759

Frequently Asked Questions on LCM of 9756 and 9759

1. What is the LCM of 9756 and 9759?

Answer: LCM of 9756 and 9759 is 31736268.

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 9759?

Answer: Factors of 9759 are 1, 3, 3253, 9759. There are 4 integers that are factors of 9759. The greatest factor of 9759 is 9759.

4. How to Find the LCM of 9756 and 9759?

Answer:

Least Common Multiple of 9756 and 9759 = 31736268

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 9759

9759 = 3 x 3253

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

LCM = 31736268 = 2 x 2 x 3 x 3 x 271 x 3253

Step 4: Therefore, the least common multiple of 9756 and 9759 is 31736268.