Least Common Multiple of 580 and 583

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 583 the smallest integer that is 338140 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 583 is 338140.

LCM(580,583) = 338140

LCM of 580 and 583

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

LCM of:
and

Least Common Multiple of 580 and 583

LCM of 580 and 583 is 338140

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 583. First we will calculate the prime factors of 580 and 583.

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 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 580 and 583.

LCM(580,583) = 22×51×111×291×531
LCM(580,583) = 338140

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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Least Common Multiple of 580 and 583 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 583, than apply into the LCM equation.

GCF(580,583) = 1
LCM(580,583) = ( 580 × 583) / 1
LCM(580,583) = 338140 / 1
LCM(580,583) = 338140

Properties of LCM 580 and 583

(i) The LCM of 583 and 580 is associative

LCM of 580 and 583 = LCM of 583 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 583

Frequently Asked Questions on LCM of 580 and 583

1. What is the LCM of 580 and 583?

Answer: LCM of 580 and 583 is 338140.

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 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

4. How to Find the LCM of 580 and 583?

Answer:

Least Common Multiple of 580 and 583 = 338140

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 583

583 = 11 x 53

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

LCM = 338140 = 2 x 2 x 5 x 11 x 29 x 53

Step 4: Therefore, the least common multiple of 580 and 583 is 338140.