Least Common Multiple of 580 and 581

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 581 the smallest integer that is 336980 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 581 is 336980.

LCM(580,581) = 336980

LCM of 580 and 581

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

LCM of:
and

Least Common Multiple of 580 and 581

LCM of 580 and 581 is 336980

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 581. First we will calculate the prime factors of 580 and 581.

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 581


7 581
83 83
1

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

581 = 71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 580 and 581.

LCM(580,581) = 22×51×71×291×831
LCM(580,581) = 336980

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 581

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

1, 7, 83, 581

Least Common Multiple of 580 and 581 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 581, than apply into the LCM equation.

GCF(580,581) = 1
LCM(580,581) = ( 580 × 581) / 1
LCM(580,581) = 336980 / 1
LCM(580,581) = 336980

Properties of LCM 580 and 581

(i) The LCM of 581 and 580 is associative

LCM of 580 and 581 = LCM of 581 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 580 and 581

1. What is the LCM of 580 and 581?

Answer: LCM of 580 and 581 is 336980.

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 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.

4. How to Find the LCM of 580 and 581?

Answer:

Least Common Multiple of 580 and 581 = 336980

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 581

581 = 7 x 83

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

LCM = 336980 = 2 x 2 x 5 x 7 x 29 x 83

Step 4: Therefore, the least common multiple of 580 and 581 is 336980.