Least Common Multiple of 579 and 580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 579 and 580 the smallest integer that is 335820 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 580 is 335820.

LCM(579,580) = 335820

LCM of 579 and 580

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

LCM of:
and

Least Common Multiple of 579 and 580

LCM of 579 and 580 is 335820

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 580. First we will calculate the prime factors of 579 and 580.

Prime Factorization of 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 579 and 580.

LCM(579,580) = 22×31×51×291×1931
LCM(579,580) = 335820

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193, 579

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

Least Common Multiple of 579 and 580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 579 and 580, than apply into the LCM equation.

GCF(579,580) = 1
LCM(579,580) = ( 579 × 580) / 1
LCM(579,580) = 335820 / 1
LCM(579,580) = 335820

Properties of LCM 579 and 580

(i) The LCM of 580 and 579 is associative

LCM of 579 and 580 = LCM of 580 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 579 and 580

1. What is the LCM of 579 and 580?

Answer: LCM of 579 and 580 is 335820.

2. What are the Factors of 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

3. 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.

4. How to Find the LCM of 579 and 580?

Answer:

Least Common Multiple of 579 and 580 = 335820

Step 1: Find the prime factorization of 579

579 = 3 x 193

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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

LCM = 335820 = 2 x 2 x 3 x 5 x 29 x 193

Step 4: Therefore, the least common multiple of 579 and 580 is 335820.