Least Common Multiple of 2579 and 2584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2579 and 2584 the smallest integer that is 6664136 that is divisible by both numbers.

Least Common Multiple (LCM) of 2579 and 2584 is 6664136.

LCM(2579,2584) = 6664136

LCM of 2579 and 2584

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

LCM of:
and

Least Common Multiple of 2579 and 2584

LCM of 2579 and 2584 is 6664136

Least common multiple can be found by multiplying the highest exponent prime factors of 2579 and 2584. First we will calculate the prime factors of 2579 and 2584.

Prime Factorization of 2579


2579 2579
1

Prime factors of 2579 are 2579. Prime factorization of 2579 in exponential form is:

2579 = 25791

Prime Factorization of 2584


2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 2584 are 2, 17,19. Prime factorization of 2584 in exponential form is:

2584 = 23×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2579 and 2584.

LCM(2579,2584) = 23×171×191×25791
LCM(2579,2584) = 6664136

Factors of 2579

List of positive integer factors of 2579 that divides 2579 without a remainder.

1, 2579

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

Least Common Multiple of 2579 and 2584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2579 and 2584, than apply into the LCM equation.

GCF(2579,2584) = 1
LCM(2579,2584) = ( 2579 × 2584) / 1
LCM(2579,2584) = 6664136 / 1
LCM(2579,2584) = 6664136

Properties of LCM 2579 and 2584

(i) The LCM of 2584 and 2579 is associative

LCM of 2579 and 2584 = LCM of 2584 and 2579

Related Least Common Multiples of 2579

Related Least Common Multiples of 2584

Frequently Asked Questions on LCM of 2579 and 2584

1. What is the LCM of 2579 and 2584?

Answer: LCM of 2579 and 2584 is 6664136.

2. What are the Factors of 2579?

Answer: Factors of 2579 are 1, 2579. There are 2 integers that are factors of 2579. The greatest factor of 2579 is 2579.

3. What are the Factors of 2584?

Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.

4. How to Find the LCM of 2579 and 2584?

Answer:

Least Common Multiple of 2579 and 2584 = 6664136

Step 1: Find the prime factorization of 2579

2579 = 2579

Step 2: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

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

LCM = 6664136 = 2 x 2 x 2 x 17 x 19 x 2579

Step 4: Therefore, the least common multiple of 2579 and 2584 is 6664136.