Least Common Multiple of 9574 and 9581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9574 and 9581 the smallest integer that is 91728494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9574 and 9581 is 91728494.

LCM(9574,9581) = 91728494

LCM of 9574 and 9581

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

LCM of:
and

Least Common Multiple of 9574 and 9581

LCM of 9574 and 9581 is 91728494

Least common multiple can be found by multiplying the highest exponent prime factors of 9574 and 9581. First we will calculate the prime factors of 9574 and 9581.

Prime Factorization of 9574


2 9574
4787 4787
1

Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:

9574 = 21×47871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9574 and 9581.

LCM(9574,9581) = 21×111×131×671×47871
LCM(9574,9581) = 91728494

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1, 2, 4787, 9574

Factors of 9581

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

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

Least Common Multiple of 9574 and 9581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9574 and 9581, than apply into the LCM equation.

GCF(9574,9581) = 1
LCM(9574,9581) = ( 9574 × 9581) / 1
LCM(9574,9581) = 91728494 / 1
LCM(9574,9581) = 91728494

Properties of LCM 9574 and 9581

(i) The LCM of 9581 and 9574 is associative

LCM of 9574 and 9581 = LCM of 9581 and 9574

Related Least Common Multiples of 9574

Related Least Common Multiples of 9581

Frequently Asked Questions on LCM of 9574 and 9581

1. What is the LCM of 9574 and 9581?

Answer: LCM of 9574 and 9581 is 91728494.

2. What are the Factors of 9574?

Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.

3. 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.

4. How to Find the LCM of 9574 and 9581?

Answer:

Least Common Multiple of 9574 and 9581 = 91728494

Step 1: Find the prime factorization of 9574

9574 = 2 x 4787

Step 2: Find the prime factorization of 9581

9581 = 11 x 13 x 67

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

LCM = 91728494 = 2 x 11 x 13 x 67 x 4787

Step 4: Therefore, the least common multiple of 9574 and 9581 is 91728494.