Least Common Multiple of 9763 and 9768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9763 and 9768 the smallest integer that is 95364984 that is divisible by both numbers.

Least Common Multiple (LCM) of 9763 and 9768 is 95364984.

LCM(9763,9768) = 95364984

LCM of 9763 and 9768

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

LCM of:
and

Least Common Multiple of 9763 and 9768

LCM of 9763 and 9768 is 95364984

Least common multiple can be found by multiplying the highest exponent prime factors of 9763 and 9768. First we will calculate the prime factors of 9763 and 9768.

Prime Factorization of 9763


13 9763
751 751
1

Prime factors of 9763 are 13,751. Prime factorization of 9763 in exponential form is:

9763 = 131×7511

Prime Factorization of 9768


2 9768
2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 9768 are 2, 3, 11,37. Prime factorization of 9768 in exponential form is:

9768 = 23×31×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9763 and 9768.

LCM(9763,9768) = 23×31×111×131×371×7511
LCM(9763,9768) = 95364984

Factors of 9763

List of positive integer factors of 9763 that divides 9763 without a remainder.

1, 13, 751, 9763

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768

Least Common Multiple of 9763 and 9768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9763 and 9768, than apply into the LCM equation.

GCF(9763,9768) = 1
LCM(9763,9768) = ( 9763 × 9768) / 1
LCM(9763,9768) = 95364984 / 1
LCM(9763,9768) = 95364984

Properties of LCM 9763 and 9768

(i) The LCM of 9768 and 9763 is associative

LCM of 9763 and 9768 = LCM of 9768 and 9763

Related Least Common Multiples of 9763

Related Least Common Multiples of 9768

Frequently Asked Questions on LCM of 9763 and 9768

1. What is the LCM of 9763 and 9768?

Answer: LCM of 9763 and 9768 is 95364984.

2. What are the Factors of 9763?

Answer: Factors of 9763 are 1, 13, 751, 9763. There are 4 integers that are factors of 9763. The greatest factor of 9763 is 9763.

3. What are the Factors of 9768?

Answer: Factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768. There are 32 integers that are factors of 9768. The greatest factor of 9768 is 9768.

4. How to Find the LCM of 9763 and 9768?

Answer:

Least Common Multiple of 9763 and 9768 = 95364984

Step 1: Find the prime factorization of 9763

9763 = 13 x 751

Step 2: Find the prime factorization of 9768

9768 = 2 x 2 x 2 x 3 x 11 x 37

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

LCM = 95364984 = 2 x 2 x 2 x 3 x 11 x 13 x 37 x 751

Step 4: Therefore, the least common multiple of 9763 and 9768 is 95364984.