Least Common Multiple of 9649 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 9649 and 9656 the smallest integer that is 93170744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9649 and 9656 is 93170744.

LCM(9649,9656) = 93170744

LCM of 9649 and 9656

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

LCM of:
and

Least Common Multiple of 9649 and 9656

LCM of 9649 and 9656 is 93170744

Least common multiple can be found by multiplying the highest exponent prime factors of 9649 and 9656. First we will calculate the prime factors of 9649 and 9656.

Prime Factorization of 9649


9649 9649
1

Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:

9649 = 96491

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 9649 and 9656.

LCM(9649,9656) = 23×171×711×96491
LCM(9649,9656) = 93170744

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1, 9649

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 9649 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 9649 and 9656, than apply into the LCM equation.

GCF(9649,9656) = 1
LCM(9649,9656) = ( 9649 × 9656) / 1
LCM(9649,9656) = 93170744 / 1
LCM(9649,9656) = 93170744

Properties of LCM 9649 and 9656

(i) The LCM of 9656 and 9649 is associative

LCM of 9649 and 9656 = LCM of 9656 and 9649

Related Least Common Multiples of 9649

Related Least Common Multiples of 9656

Frequently Asked Questions on LCM of 9649 and 9656

1. What is the LCM of 9649 and 9656?

Answer: LCM of 9649 and 9656 is 93170744.

2. What are the Factors of 9649?

Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.

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 9649 and 9656?

Answer:

Least Common Multiple of 9649 and 9656 = 93170744

Step 1: Find the prime factorization of 9649

9649 = 9649

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 = 93170744 = 2 x 2 x 2 x 17 x 71 x 9649

Step 4: Therefore, the least common multiple of 9649 and 9656 is 93170744.