Least Common Multiple of 9655 and 9656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9655 and 9656 the smallest integer that is 93228680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9655 and 9656 is 93228680.

LCM(9655,9656) = 93228680

LCM of 9655 and 9656

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

LCM of:
and

Least Common Multiple of 9655 and 9656

LCM of 9655 and 9656 is 93228680

Least common multiple can be found by multiplying the highest exponent prime factors of 9655 and 9656. First we will calculate the prime factors of 9655 and 9656.

Prime Factorization of 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9655 and 9656.

LCM(9655,9656) = 23×51×171×711×19311
LCM(9655,9656) = 93228680

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931, 9655

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

Least Common Multiple of 9655 and 9656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9655 and 9656, than apply into the LCM equation.

GCF(9655,9656) = 1
LCM(9655,9656) = ( 9655 × 9656) / 1
LCM(9655,9656) = 93228680 / 1
LCM(9655,9656) = 93228680

Properties of LCM 9655 and 9656

(i) The LCM of 9656 and 9655 is associative

LCM of 9655 and 9656 = LCM of 9656 and 9655

Related Least Common Multiples of 9655

Related Least Common Multiples of 9656

Frequently Asked Questions on LCM of 9655 and 9656

1. What is the LCM of 9655 and 9656?

Answer: LCM of 9655 and 9656 is 93228680.

2. What are the Factors of 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

3. 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.

4. How to Find the LCM of 9655 and 9656?

Answer:

Least Common Multiple of 9655 and 9656 = 93228680

Step 1: Find the prime factorization of 9655

9655 = 5 x 1931

Step 2: Find the prime factorization of 9656

9656 = 2 x 2 x 2 x 17 x 71

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

LCM = 93228680 = 2 x 2 x 2 x 5 x 17 x 71 x 1931

Step 4: Therefore, the least common multiple of 9655 and 9656 is 93228680.