Least Common Multiple of 9762 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 9762 and 9768 the smallest integer that is 15892536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9762 and 9768 is 15892536.

LCM(9762,9768) = 15892536

LCM of 9762 and 9768

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

LCM of:
and

Least Common Multiple of 9762 and 9768

LCM of 9762 and 9768 is 15892536

Least common multiple can be found by multiplying the highest exponent prime factors of 9762 and 9768. First we will calculate the prime factors of 9762 and 9768.

Prime Factorization of 9762


2 9762
3 4881
1627 1627
1

Prime factors of 9762 are 2, 3,1627. Prime factorization of 9762 in exponential form is:

9762 = 21×31×16271

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 9762 and 9768.

LCM(9762,9768) = 23×31×111×371×16271
LCM(9762,9768) = 15892536

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1, 2, 3, 6, 1627, 3254, 4881, 9762

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 9762 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 9762 and 9768, than apply into the LCM equation.

GCF(9762,9768) = 6
LCM(9762,9768) = ( 9762 × 9768) / 6
LCM(9762,9768) = 95355216 / 6
LCM(9762,9768) = 15892536

Properties of LCM 9762 and 9768

(i) The LCM of 9768 and 9762 is associative

LCM of 9762 and 9768 = LCM of 9768 and 9762

Related Least Common Multiples of 9762

Related Least Common Multiples of 9768

Frequently Asked Questions on LCM of 9762 and 9768

1. What is the LCM of 9762 and 9768?

Answer: LCM of 9762 and 9768 is 15892536.

2. What are the Factors of 9762?

Answer: Factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762. There are 8 integers that are factors of 9762. The greatest factor of 9762 is 9762.

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 9762 and 9768?

Answer:

Least Common Multiple of 9762 and 9768 = 15892536

Step 1: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

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 = 15892536 = 2 x 2 x 2 x 3 x 11 x 37 x 1627

Step 4: Therefore, the least common multiple of 9762 and 9768 is 15892536.