Least Common Multiple of 9721 and 9728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9721 and 9728 the smallest integer that is 94565888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9721 and 9728 is 94565888.

LCM(9721,9728) = 94565888

LCM of 9721 and 9728

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

LCM of:
and

Least Common Multiple of 9721 and 9728

LCM of 9721 and 9728 is 94565888

Least common multiple can be found by multiplying the highest exponent prime factors of 9721 and 9728. First we will calculate the prime factors of 9721 and 9728.

Prime Factorization of 9721


9721 9721
1

Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:

9721 = 97211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9721 and 9728.

LCM(9721,9728) = 29×191×97211
LCM(9721,9728) = 94565888

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1, 9721

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

Least Common Multiple of 9721 and 9728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9721 and 9728, than apply into the LCM equation.

GCF(9721,9728) = 1
LCM(9721,9728) = ( 9721 × 9728) / 1
LCM(9721,9728) = 94565888 / 1
LCM(9721,9728) = 94565888

Properties of LCM 9721 and 9728

(i) The LCM of 9728 and 9721 is associative

LCM of 9721 and 9728 = LCM of 9728 and 9721

Related Least Common Multiples of 9721

Related Least Common Multiples of 9728

Frequently Asked Questions on LCM of 9721 and 9728

1. What is the LCM of 9721 and 9728?

Answer: LCM of 9721 and 9728 is 94565888.

2. What are the Factors of 9721?

Answer: Factors of 9721 are 1, 9721. There are 2 integers that are factors of 9721. The greatest factor of 9721 is 9721.

3. 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.

4. How to Find the LCM of 9721 and 9728?

Answer:

Least Common Multiple of 9721 and 9728 = 94565888

Step 1: Find the prime factorization of 9721

9721 = 9721

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 94565888 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 9721

Step 4: Therefore, the least common multiple of 9721 and 9728 is 94565888.