Least Common Multiple of 9581 and 9587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9581 and 9587 the smallest integer that is 91853047 that is divisible by both numbers.

Least Common Multiple (LCM) of 9581 and 9587 is 91853047.

LCM(9581,9587) = 91853047

LCM of 9581 and 9587

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

LCM of:
and

Least Common Multiple of 9581 and 9587

LCM of 9581 and 9587 is 91853047

Least common multiple can be found by multiplying the highest exponent prime factors of 9581 and 9587. First we will calculate the prime factors of 9581 and 9587.

Prime Factorization of 9581


11 9581
13 871
67 67
1

Prime factors of 9581 are 11, 13,67. Prime factorization of 9581 in exponential form is:

9581 = 111×131×671

Prime Factorization of 9587


9587 9587
1

Prime factors of 9587 are 9587. Prime factorization of 9587 in exponential form is:

9587 = 95871

Now multiplying the highest exponent prime factors to calculate the LCM of 9581 and 9587.

LCM(9581,9587) = 111×131×671×95871
LCM(9581,9587) = 91853047

Factors of 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1, 11, 13, 67, 143, 737, 871, 9581

Factors of 9587

List of positive integer factors of 9587 that divides 9587 without a remainder.

1, 9587

Least Common Multiple of 9581 and 9587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9581 and 9587, than apply into the LCM equation.

GCF(9581,9587) = 1
LCM(9581,9587) = ( 9581 × 9587) / 1
LCM(9581,9587) = 91853047 / 1
LCM(9581,9587) = 91853047

Properties of LCM 9581 and 9587

(i) The LCM of 9587 and 9581 is associative

LCM of 9581 and 9587 = LCM of 9587 and 9581

Related Least Common Multiples of 9581

Related Least Common Multiples of 9587

Frequently Asked Questions on LCM of 9581 and 9587

1. What is the LCM of 9581 and 9587?

Answer: LCM of 9581 and 9587 is 91853047.

2. What are the Factors of 9581?

Answer: Factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581. There are 8 integers that are factors of 9581. The greatest factor of 9581 is 9581.

3. What are the Factors of 9587?

Answer: Factors of 9587 are 1, 9587. There are 2 integers that are factors of 9587. The greatest factor of 9587 is 9587.

4. How to Find the LCM of 9581 and 9587?

Answer:

Least Common Multiple of 9581 and 9587 = 91853047

Step 1: Find the prime factorization of 9581

9581 = 11 x 13 x 67

Step 2: Find the prime factorization of 9587

9587 = 9587

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

LCM = 91853047 = 11 x 13 x 67 x 9587

Step 4: Therefore, the least common multiple of 9581 and 9587 is 91853047.