Least Common Multiple of 581 and 584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 581 and 584 the smallest integer that is 339304 that is divisible by both numbers.

Least Common Multiple (LCM) of 581 and 584 is 339304.

LCM(581,584) = 339304

LCM of 581 and 584

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

LCM of:
and

Least Common Multiple of 581 and 584

LCM of 581 and 584 is 339304

Least common multiple can be found by multiplying the highest exponent prime factors of 581 and 584. First we will calculate the prime factors of 581 and 584.

Prime Factorization of 581


7 581
83 83
1

Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:

581 = 71×831

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

Now multiplying the highest exponent prime factors to calculate the LCM of 581 and 584.

LCM(581,584) = 23×71×731×831
LCM(581,584) = 339304

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Least Common Multiple of 581 and 584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 581 and 584, than apply into the LCM equation.

GCF(581,584) = 1
LCM(581,584) = ( 581 × 584) / 1
LCM(581,584) = 339304 / 1
LCM(581,584) = 339304

Properties of LCM 581 and 584

(i) The LCM of 584 and 581 is associative

LCM of 581 and 584 = LCM of 584 and 581

Related Least Common Multiples of 581

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 581 and 584

1. What is the LCM of 581 and 584?

Answer: LCM of 581 and 584 is 339304.

2. What are the Factors of 581?

Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.

3. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

4. How to Find the LCM of 581 and 584?

Answer:

Least Common Multiple of 581 and 584 = 339304

Step 1: Find the prime factorization of 581

581 = 7 x 83

Step 2: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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

LCM = 339304 = 2 x 2 x 2 x 7 x 73 x 83

Step 4: Therefore, the least common multiple of 581 and 584 is 339304.