Least Common Multiple of 579 and 584

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 584 the smallest integer that is 338136 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 584 is 338136.

LCM(579,584) = 338136

LCM of 579 and 584

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

LCM of:
and

Least Common Multiple of 579 and 584

LCM of 579 and 584 is 338136

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 584. First we will calculate the prime factors of 579 and 584.

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 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

Now multiplying the highest exponent prime factors to calculate the LCM of 579 and 584.

LCM(579,584) = 23×31×731×1931
LCM(579,584) = 338136

Factors of 579

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

1, 3, 193, 579

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Least Common Multiple of 579 and 584 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 584, than apply into the LCM equation.

GCF(579,584) = 1
LCM(579,584) = ( 579 × 584) / 1
LCM(579,584) = 338136 / 1
LCM(579,584) = 338136

Properties of LCM 579 and 584

(i) The LCM of 584 and 579 is associative

LCM of 579 and 584 = LCM of 584 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 579 and 584

1. What is the LCM of 579 and 584?

Answer: LCM of 579 and 584 is 338136.

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 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

4. How to Find the LCM of 579 and 584?

Answer:

Least Common Multiple of 579 and 584 = 338136

Step 1: Find the prime factorization of 579

579 = 3 x 193

Step 2: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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

LCM = 338136 = 2 x 2 x 2 x 3 x 73 x 193

Step 4: Therefore, the least common multiple of 579 and 584 is 338136.