Least Common Multiple of 9722 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 9722 and 9728 the smallest integer that is 47287808 that is divisible by both numbers.

Least Common Multiple (LCM) of 9722 and 9728 is 47287808.

LCM(9722,9728) = 47287808

LCM of 9722 and 9728

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

LCM of:
and

Least Common Multiple of 9722 and 9728

LCM of 9722 and 9728 is 47287808

Least common multiple can be found by multiplying the highest exponent prime factors of 9722 and 9728. First we will calculate the prime factors of 9722 and 9728.

Prime Factorization of 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

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 9722 and 9728.

LCM(9722,9728) = 29×191×48611
LCM(9722,9728) = 47287808

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1, 2, 4861, 9722

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 9722 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 9722 and 9728, than apply into the LCM equation.

GCF(9722,9728) = 2
LCM(9722,9728) = ( 9722 × 9728) / 2
LCM(9722,9728) = 94575616 / 2
LCM(9722,9728) = 47287808

Properties of LCM 9722 and 9728

(i) The LCM of 9728 and 9722 is associative

LCM of 9722 and 9728 = LCM of 9728 and 9722

Related Least Common Multiples of 9722

Related Least Common Multiples of 9728

Frequently Asked Questions on LCM of 9722 and 9728

1. What is the LCM of 9722 and 9728?

Answer: LCM of 9722 and 9728 is 47287808.

2. What are the Factors of 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

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 9722 and 9728?

Answer:

Least Common Multiple of 9722 and 9728 = 47287808

Step 1: Find the prime factorization of 9722

9722 = 2 x 4861

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 = 47287808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 4861

Step 4: Therefore, the least common multiple of 9722 and 9728 is 47287808.