Least Common Multiple of 9728 and 9736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9728 and 9736 the smallest integer that is 11838976 that is divisible by both numbers.

Least Common Multiple (LCM) of 9728 and 9736 is 11838976.

LCM(9728,9736) = 11838976

LCM of 9728 and 9736

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

LCM of:
and

Least Common Multiple of 9728 and 9736

LCM of 9728 and 9736 is 11838976

Least common multiple can be found by multiplying the highest exponent prime factors of 9728 and 9736. First we will calculate the prime factors of 9728 and 9736.

Prime Factorization of 9728


2 9728
2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 9728 are 2,19. Prime factorization of 9728 in exponential form is:

9728 = 29×191

Prime Factorization of 9736


2 9736
2 4868
2 2434
1217 1217
1

Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:

9736 = 23×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 9728 and 9736.

LCM(9728,9736) = 29×191×12171
LCM(9728,9736) = 11838976

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1, 2, 4, 8, 1217, 2434, 4868, 9736

Least Common Multiple of 9728 and 9736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9728 and 9736, than apply into the LCM equation.

GCF(9728,9736) = 8
LCM(9728,9736) = ( 9728 × 9736) / 8
LCM(9728,9736) = 94711808 / 8
LCM(9728,9736) = 11838976

Properties of LCM 9728 and 9736

(i) The LCM of 9736 and 9728 is associative

LCM of 9728 and 9736 = LCM of 9736 and 9728

Related Least Common Multiples of 9728

Related Least Common Multiples of 9736

Frequently Asked Questions on LCM of 9728 and 9736

1. What is the LCM of 9728 and 9736?

Answer: LCM of 9728 and 9736 is 11838976.

2. What are the Factors of 9728?

Answer: Factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728. There are 20 integers that are factors of 9728. The greatest factor of 9728 is 9728.

3. What are the Factors of 9736?

Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.

4. How to Find the LCM of 9728 and 9736?

Answer:

Least Common Multiple of 9728 and 9736 = 11838976

Step 1: Find the prime factorization of 9728

9728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

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

LCM = 11838976 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 1217

Step 4: Therefore, the least common multiple of 9728 and 9736 is 11838976.