Least Common Multiple of 580 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 580 and 584 the smallest integer that is 84680 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 584 is 84680.

LCM(580,584) = 84680

LCM of 580 and 584

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

LCM of:
and

Least Common Multiple of 580 and 584

LCM of 580 and 584 is 84680

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 584. First we will calculate the prime factors of 580 and 584.

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

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 580 and 584.

LCM(580,584) = 23×51×291×731
LCM(580,584) = 84680

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 580 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 580 and 584, than apply into the LCM equation.

GCF(580,584) = 4
LCM(580,584) = ( 580 × 584) / 4
LCM(580,584) = 338720 / 4
LCM(580,584) = 84680

Properties of LCM 580 and 584

(i) The LCM of 584 and 580 is associative

LCM of 580 and 584 = LCM of 584 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 580 and 584

1. What is the LCM of 580 and 584?

Answer: LCM of 580 and 584 is 84680.

2. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

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 580 and 584?

Answer:

Least Common Multiple of 580 and 584 = 84680

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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 = 84680 = 2 x 2 x 2 x 5 x 29 x 73

Step 4: Therefore, the least common multiple of 580 and 584 is 84680.