Least Common Multiple of 9751 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 9751 and 9756 the smallest integer that is 95130756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9751 and 9756 is 95130756.

LCM(9751,9756) = 95130756

LCM of 9751 and 9756

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

LCM of:
and

Least Common Multiple of 9751 and 9756

LCM of 9751 and 9756 is 95130756

Least common multiple can be found by multiplying the highest exponent prime factors of 9751 and 9756. First we will calculate the prime factors of 9751 and 9756.

Prime Factorization of 9751


7 9751
7 1393
199 199
1

Prime factors of 9751 are 7,199. Prime factorization of 9751 in exponential form is:

9751 = 72×1991

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 9751 and 9756.

LCM(9751,9756) = 22×32×72×1991×2711
LCM(9751,9756) = 95130756

Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1, 7, 49, 199, 1393, 9751

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 9751 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 9751 and 9756, than apply into the LCM equation.

GCF(9751,9756) = 1
LCM(9751,9756) = ( 9751 × 9756) / 1
LCM(9751,9756) = 95130756 / 1
LCM(9751,9756) = 95130756

Properties of LCM 9751 and 9756

(i) The LCM of 9756 and 9751 is associative

LCM of 9751 and 9756 = LCM of 9756 and 9751

Related Least Common Multiples of 9751

Related Least Common Multiples of 9756

Frequently Asked Questions on LCM of 9751 and 9756

1. What is the LCM of 9751 and 9756?

Answer: LCM of 9751 and 9756 is 95130756.

2. What are the Factors of 9751?

Answer: Factors of 9751 are 1, 7, 49, 199, 1393, 9751. There are 6 integers that are factors of 9751. The greatest factor of 9751 is 9751.

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 9751 and 9756?

Answer:

Least Common Multiple of 9751 and 9756 = 95130756

Step 1: Find the prime factorization of 9751

9751 = 7 x 7 x 199

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 = 95130756 = 2 x 2 x 3 x 3 x 7 x 7 x 199 x 271

Step 4: Therefore, the least common multiple of 9751 and 9756 is 95130756.