Least Common Multiple of 9764 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 9764 and 9772 the smallest integer that is 23853452 that is divisible by both numbers.

Least Common Multiple (LCM) of 9764 and 9772 is 23853452.

LCM(9764,9772) = 23853452

LCM of 9764 and 9772

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

LCM of:
and

Least Common Multiple of 9764 and 9772

LCM of 9764 and 9772 is 23853452

Least common multiple can be found by multiplying the highest exponent prime factors of 9764 and 9772. First we will calculate the prime factors of 9764 and 9772.

Prime Factorization of 9764


2 9764
2 4882
2441 2441
1

Prime factors of 9764 are 2,2441. Prime factorization of 9764 in exponential form is:

9764 = 22×24411

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 9764 and 9772.

LCM(9764,9772) = 22×71×3491×24411
LCM(9764,9772) = 23853452

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1, 2, 4, 2441, 4882, 9764

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 9764 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 9764 and 9772, than apply into the LCM equation.

GCF(9764,9772) = 4
LCM(9764,9772) = ( 9764 × 9772) / 4
LCM(9764,9772) = 95413808 / 4
LCM(9764,9772) = 23853452

Properties of LCM 9764 and 9772

(i) The LCM of 9772 and 9764 is associative

LCM of 9764 and 9772 = LCM of 9772 and 9764

Related Least Common Multiples of 9764

Related Least Common Multiples of 9772

Frequently Asked Questions on LCM of 9764 and 9772

1. What is the LCM of 9764 and 9772?

Answer: LCM of 9764 and 9772 is 23853452.

2. What are the Factors of 9764?

Answer: Factors of 9764 are 1, 2, 4, 2441, 4882, 9764. There are 6 integers that are factors of 9764. The greatest factor of 9764 is 9764.

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 9764 and 9772?

Answer:

Least Common Multiple of 9764 and 9772 = 23853452

Step 1: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

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 = 23853452 = 2 x 2 x 7 x 349 x 2441

Step 4: Therefore, the least common multiple of 9764 and 9772 is 23853452.