Least Common Multiple of 9656 and 9664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9656 and 9664 the smallest integer that is 11664448 that is divisible by both numbers.

Least Common Multiple (LCM) of 9656 and 9664 is 11664448.

LCM(9656,9664) = 11664448

LCM of 9656 and 9664

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

LCM of:
and

Least Common Multiple of 9656 and 9664

LCM of 9656 and 9664 is 11664448

Least common multiple can be found by multiplying the highest exponent prime factors of 9656 and 9664. First we will calculate the prime factors of 9656 and 9664.

Prime Factorization of 9656


2 9656
2 4828
2 2414
17 1207
71 71
1

Prime factors of 9656 are 2, 17,71. Prime factorization of 9656 in exponential form is:

9656 = 23×171×711

Prime Factorization of 9664


2 9664
2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 9664 are 2,151. Prime factorization of 9664 in exponential form is:

9664 = 26×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9656 and 9664.

LCM(9656,9664) = 26×171×711×1511
LCM(9656,9664) = 11664448

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

Least Common Multiple of 9656 and 9664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9656 and 9664, than apply into the LCM equation.

GCF(9656,9664) = 8
LCM(9656,9664) = ( 9656 × 9664) / 8
LCM(9656,9664) = 93315584 / 8
LCM(9656,9664) = 11664448

Properties of LCM 9656 and 9664

(i) The LCM of 9664 and 9656 is associative

LCM of 9656 and 9664 = LCM of 9664 and 9656

Related Least Common Multiples of 9656

Related Least Common Multiples of 9664

Frequently Asked Questions on LCM of 9656 and 9664

1. What is the LCM of 9656 and 9664?

Answer: LCM of 9656 and 9664 is 11664448.

2. What are the Factors of 9656?

Answer: Factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656. There are 16 integers that are factors of 9656. The greatest factor of 9656 is 9656.

3. What are the Factors of 9664?

Answer: Factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664. There are 14 integers that are factors of 9664. The greatest factor of 9664 is 9664.

4. How to Find the LCM of 9656 and 9664?

Answer:

Least Common Multiple of 9656 and 9664 = 11664448

Step 1: Find the prime factorization of 9656

9656 = 2 x 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 9664

9664 = 2 x 2 x 2 x 2 x 2 x 2 x 151

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

LCM = 11664448 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 71 x 151

Step 4: Therefore, the least common multiple of 9656 and 9664 is 11664448.