Least Common Multiple of 2584 and 2592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2584 and 2592 the smallest integer that is 837216 that is divisible by both numbers.

Least Common Multiple (LCM) of 2584 and 2592 is 837216.

LCM(2584,2592) = 837216

LCM of 2584 and 2592

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

LCM of:
and

Least Common Multiple of 2584 and 2592

LCM of 2584 and 2592 is 837216

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2592. First we will calculate the prime factors of 2584 and 2592.

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

Prime Factorization of 2592


2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 2592 are 2,3. Prime factorization of 2592 in exponential form is:

2592 = 25×34

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2592.

LCM(2584,2592) = 25×34×171×191
LCM(2584,2592) = 837216

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

Factors of 2592

List of positive integer factors of 2592 that divides 2592 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592

Least Common Multiple of 2584 and 2592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2584 and 2592, than apply into the LCM equation.

GCF(2584,2592) = 8
LCM(2584,2592) = ( 2584 × 2592) / 8
LCM(2584,2592) = 6697728 / 8
LCM(2584,2592) = 837216

Properties of LCM 2584 and 2592

(i) The LCM of 2592 and 2584 is associative

LCM of 2584 and 2592 = LCM of 2592 and 2584

Related Least Common Multiples of 2584

Related Least Common Multiples of 2592

Frequently Asked Questions on LCM of 2584 and 2592

1. What is the LCM of 2584 and 2592?

Answer: LCM of 2584 and 2592 is 837216.

2. 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.

3. What are the Factors of 2592?

Answer: Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592. There are 30 integers that are factors of 2592. The greatest factor of 2592 is 2592.

4. How to Find the LCM of 2584 and 2592?

Answer:

Least Common Multiple of 2584 and 2592 = 837216

Step 1: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

Step 2: Find the prime factorization of 2592

2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 837216 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 2584 and 2592 is 837216.