Least Common Multiple of 9656 and 9663

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 9663 the smallest integer that is 93305928 that is divisible by both numbers.

Least Common Multiple (LCM) of 9656 and 9663 is 93305928.

LCM(9656,9663) = 93305928

LCM of 9656 and 9663

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

LCM of:
and

Least Common Multiple of 9656 and 9663

LCM of 9656 and 9663 is 93305928

Least common multiple can be found by multiplying the highest exponent prime factors of 9656 and 9663. First we will calculate the prime factors of 9656 and 9663.

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 9663


3 9663
3221 3221
1

Prime factors of 9663 are 3,3221. Prime factorization of 9663 in exponential form is:

9663 = 31×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 9656 and 9663.

LCM(9656,9663) = 23×31×171×711×32211
LCM(9656,9663) = 93305928

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 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1, 3, 3221, 9663

Least Common Multiple of 9656 and 9663 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 9663, than apply into the LCM equation.

GCF(9656,9663) = 1
LCM(9656,9663) = ( 9656 × 9663) / 1
LCM(9656,9663) = 93305928 / 1
LCM(9656,9663) = 93305928

Properties of LCM 9656 and 9663

(i) The LCM of 9663 and 9656 is associative

LCM of 9656 and 9663 = LCM of 9663 and 9656

Related Least Common Multiples of 9656

Related Least Common Multiples of 9663

Frequently Asked Questions on LCM of 9656 and 9663

1. What is the LCM of 9656 and 9663?

Answer: LCM of 9656 and 9663 is 93305928.

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 9663?

Answer: Factors of 9663 are 1, 3, 3221, 9663. There are 4 integers that are factors of 9663. The greatest factor of 9663 is 9663.

4. How to Find the LCM of 9656 and 9663?

Answer:

Least Common Multiple of 9656 and 9663 = 93305928

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 9663

9663 = 3 x 3221

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

LCM = 93305928 = 2 x 2 x 2 x 3 x 17 x 71 x 3221

Step 4: Therefore, the least common multiple of 9656 and 9663 is 93305928.