Least Common Multiple of 9561 and 9569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9561 and 9569 the smallest integer that is 91489209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9561 and 9569 is 91489209.

LCM(9561,9569) = 91489209

LCM of 9561 and 9569

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

LCM of:
and

Least Common Multiple of 9561 and 9569

LCM of 9561 and 9569 is 91489209

Least common multiple can be found by multiplying the highest exponent prime factors of 9561 and 9569. First we will calculate the prime factors of 9561 and 9569.

Prime Factorization of 9561


3 9561
3187 3187
1

Prime factors of 9561 are 3,3187. Prime factorization of 9561 in exponential form is:

9561 = 31×31871

Prime Factorization of 9569


7 9569
1367 1367
1

Prime factors of 9569 are 7,1367. Prime factorization of 9569 in exponential form is:

9569 = 71×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 9561 and 9569.

LCM(9561,9569) = 31×71×13671×31871
LCM(9561,9569) = 91489209

Factors of 9561

List of positive integer factors of 9561 that divides 9561 without a remainder.

1, 3, 3187, 9561

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1, 7, 1367, 9569

Least Common Multiple of 9561 and 9569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9561 and 9569, than apply into the LCM equation.

GCF(9561,9569) = 1
LCM(9561,9569) = ( 9561 × 9569) / 1
LCM(9561,9569) = 91489209 / 1
LCM(9561,9569) = 91489209

Properties of LCM 9561 and 9569

(i) The LCM of 9569 and 9561 is associative

LCM of 9561 and 9569 = LCM of 9569 and 9561

Related Least Common Multiples of 9561

Related Least Common Multiples of 9569

Frequently Asked Questions on LCM of 9561 and 9569

1. What is the LCM of 9561 and 9569?

Answer: LCM of 9561 and 9569 is 91489209.

2. What are the Factors of 9561?

Answer: Factors of 9561 are 1, 3, 3187, 9561. There are 4 integers that are factors of 9561. The greatest factor of 9561 is 9561.

3. What are the Factors of 9569?

Answer: Factors of 9569 are 1, 7, 1367, 9569. There are 4 integers that are factors of 9569. The greatest factor of 9569 is 9569.

4. How to Find the LCM of 9561 and 9569?

Answer:

Least Common Multiple of 9561 and 9569 = 91489209

Step 1: Find the prime factorization of 9561

9561 = 3 x 3187

Step 2: Find the prime factorization of 9569

9569 = 7 x 1367

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

LCM = 91489209 = 3 x 7 x 1367 x 3187

Step 4: Therefore, the least common multiple of 9561 and 9569 is 91489209.