Least Common Multiple of 579 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 579 and 581 the smallest integer that is 336399 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 581 is 336399.

LCM(579,581) = 336399

LCM of 579 and 581

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

LCM of:
and

Least Common Multiple of 579 and 581

LCM of 579 and 581 is 336399

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 581. First we will calculate the prime factors of 579 and 581.

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 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 579 and 581.

LCM(579,581) = 31×71×831×1931
LCM(579,581) = 336399

Factors of 579

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

1, 3, 193, 579

Factors of 581

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

1, 7, 83, 581

Least Common Multiple of 579 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 579 and 581, than apply into the LCM equation.

GCF(579,581) = 1
LCM(579,581) = ( 579 × 581) / 1
LCM(579,581) = 336399 / 1
LCM(579,581) = 336399

Properties of LCM 579 and 581

(i) The LCM of 581 and 579 is associative

LCM of 579 and 581 = LCM of 581 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 579 and 581

1. What is the LCM of 579 and 581?

Answer: LCM of 579 and 581 is 336399.

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 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 579 and 581?

Answer:

Least Common Multiple of 579 and 581 = 336399

Step 1: Find the prime factorization of 579

579 = 3 x 193

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 = 336399 = 3 x 7 x 83 x 193

Step 4: Therefore, the least common multiple of 579 and 581 is 336399.