Least Common Multiple of 9768 and 9772

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 9772 the smallest integer that is 23863224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9768 and 9772 is 23863224.

LCM(9768,9772) = 23863224

LCM of 9768 and 9772

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

LCM of:
and

Least Common Multiple of 9768 and 9772

LCM of 9768 and 9772 is 23863224

Least common multiple can be found by multiplying the highest exponent prime factors of 9768 and 9772. First we will calculate the prime factors of 9768 and 9772.

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 9772


2 9772
2 4886
7 2443
349 349
1

Prime factors of 9772 are 2, 7,349. Prime factorization of 9772 in exponential form is:

9772 = 22×71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9768 and 9772.

LCM(9768,9772) = 23×31×71×111×371×3491
LCM(9768,9772) = 23863224

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 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

Least Common Multiple of 9768 and 9772 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 9772, than apply into the LCM equation.

GCF(9768,9772) = 4
LCM(9768,9772) = ( 9768 × 9772) / 4
LCM(9768,9772) = 95452896 / 4
LCM(9768,9772) = 23863224

Properties of LCM 9768 and 9772

(i) The LCM of 9772 and 9768 is associative

LCM of 9768 and 9772 = LCM of 9772 and 9768

Related Least Common Multiples of 9768

Related Least Common Multiples of 9772

Frequently Asked Questions on LCM of 9768 and 9772

1. What is the LCM of 9768 and 9772?

Answer: LCM of 9768 and 9772 is 23863224.

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 9772?

Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.

4. How to Find the LCM of 9768 and 9772?

Answer:

Least Common Multiple of 9768 and 9772 = 23863224

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 9772

9772 = 2 x 2 x 7 x 349

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

LCM = 23863224 = 2 x 2 x 2 x 3 x 7 x 11 x 37 x 349

Step 4: Therefore, the least common multiple of 9768 and 9772 is 23863224.