Least Common Multiple of 9768 and 9776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9768 and 9776 the smallest integer that is 11936496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9768 and 9776 is 11936496.

LCM(9768,9776) = 11936496

LCM of 9768 and 9776

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

LCM of:
and

Least Common Multiple of 9768 and 9776

LCM of 9768 and 9776 is 11936496

Least common multiple can be found by multiplying the highest exponent prime factors of 9768 and 9776. First we will calculate the prime factors of 9768 and 9776.

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

Prime Factorization of 9776


2 9776
2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 9776 are 2, 13,47. Prime factorization of 9776 in exponential form is:

9776 = 24×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9768 and 9776.

LCM(9768,9776) = 24×31×111×131×371×471
LCM(9768,9776) = 11936496

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

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

Least Common Multiple of 9768 and 9776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9768 and 9776, than apply into the LCM equation.

GCF(9768,9776) = 8
LCM(9768,9776) = ( 9768 × 9776) / 8
LCM(9768,9776) = 95491968 / 8
LCM(9768,9776) = 11936496

Properties of LCM 9768 and 9776

(i) The LCM of 9776 and 9768 is associative

LCM of 9768 and 9776 = LCM of 9776 and 9768

Related Least Common Multiples of 9768

Related Least Common Multiples of 9776

Frequently Asked Questions on LCM of 9768 and 9776

1. What is the LCM of 9768 and 9776?

Answer: LCM of 9768 and 9776 is 11936496.

2. 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.

3. What are the Factors of 9776?

Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.

4. How to Find the LCM of 9768 and 9776?

Answer:

Least Common Multiple of 9768 and 9776 = 11936496

Step 1: Find the prime factorization of 9768

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

Step 2: Find the prime factorization of 9776

9776 = 2 x 2 x 2 x 2 x 13 x 47

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

LCM = 11936496 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 37 x 47

Step 4: Therefore, the least common multiple of 9768 and 9776 is 11936496.