Least Common Multiple of 9656 and 9661

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 9661 the smallest integer that is 93286616 that is divisible by both numbers.

Least Common Multiple (LCM) of 9656 and 9661 is 93286616.

LCM(9656,9661) = 93286616

LCM of 9656 and 9661

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

LCM of:
and

Least Common Multiple of 9656 and 9661

LCM of 9656 and 9661 is 93286616

Least common multiple can be found by multiplying the highest exponent prime factors of 9656 and 9661. First we will calculate the prime factors of 9656 and 9661.

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 9661


9661 9661
1

Prime factors of 9661 are 9661. Prime factorization of 9661 in exponential form is:

9661 = 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 9656 and 9661.

LCM(9656,9661) = 23×171×711×96611
LCM(9656,9661) = 93286616

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 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1, 9661

Least Common Multiple of 9656 and 9661 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 9661, than apply into the LCM equation.

GCF(9656,9661) = 1
LCM(9656,9661) = ( 9656 × 9661) / 1
LCM(9656,9661) = 93286616 / 1
LCM(9656,9661) = 93286616

Properties of LCM 9656 and 9661

(i) The LCM of 9661 and 9656 is associative

LCM of 9656 and 9661 = LCM of 9661 and 9656

Related Least Common Multiples of 9656

Related Least Common Multiples of 9661

Frequently Asked Questions on LCM of 9656 and 9661

1. What is the LCM of 9656 and 9661?

Answer: LCM of 9656 and 9661 is 93286616.

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 9661?

Answer: Factors of 9661 are 1, 9661. There are 2 integers that are factors of 9661. The greatest factor of 9661 is 9661.

4. How to Find the LCM of 9656 and 9661?

Answer:

Least Common Multiple of 9656 and 9661 = 93286616

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 9661

9661 = 9661

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

LCM = 93286616 = 2 x 2 x 2 x 17 x 71 x 9661

Step 4: Therefore, the least common multiple of 9656 and 9661 is 93286616.