Least Common Multiple of 579 and 582

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 582 the smallest integer that is 112326 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 582 is 112326.

LCM(579,582) = 112326

LCM of 579 and 582

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

LCM of:
and

Least Common Multiple of 579 and 582

LCM of 579 and 582 is 112326

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 582. First we will calculate the prime factors of 579 and 582.

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 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 579 and 582.

LCM(579,582) = 21×31×971×1931
LCM(579,582) = 112326

Factors of 579

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

1, 3, 193, 579

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Least Common Multiple of 579 and 582 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 582, than apply into the LCM equation.

GCF(579,582) = 3
LCM(579,582) = ( 579 × 582) / 3
LCM(579,582) = 336978 / 3
LCM(579,582) = 112326

Properties of LCM 579 and 582

(i) The LCM of 582 and 579 is associative

LCM of 579 and 582 = LCM of 582 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 579 and 582

1. What is the LCM of 579 and 582?

Answer: LCM of 579 and 582 is 112326.

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 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

4. How to Find the LCM of 579 and 582?

Answer:

Least Common Multiple of 579 and 582 = 112326

Step 1: Find the prime factorization of 579

579 = 3 x 193

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

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

LCM = 112326 = 2 x 3 x 97 x 193

Step 4: Therefore, the least common multiple of 579 and 582 is 112326.