Least Common Multiple of 2585 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 2585 and 2592 the smallest integer that is 6700320 that is divisible by both numbers.

Least Common Multiple (LCM) of 2585 and 2592 is 6700320.

LCM(2585,2592) = 6700320

LCM of 2585 and 2592

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

LCM of:
and

Least Common Multiple of 2585 and 2592

LCM of 2585 and 2592 is 6700320

Least common multiple can be found by multiplying the highest exponent prime factors of 2585 and 2592. First we will calculate the prime factors of 2585 and 2592.

Prime Factorization of 2585


5 2585
11 517
47 47
1

Prime factors of 2585 are 5, 11,47. Prime factorization of 2585 in exponential form is:

2585 = 51×111×471

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 2585 and 2592.

LCM(2585,2592) = 25×34×51×111×471
LCM(2585,2592) = 6700320

Factors of 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1, 5, 11, 47, 55, 235, 517, 2585

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 2585 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 2585 and 2592, than apply into the LCM equation.

GCF(2585,2592) = 1
LCM(2585,2592) = ( 2585 × 2592) / 1
LCM(2585,2592) = 6700320 / 1
LCM(2585,2592) = 6700320

Properties of LCM 2585 and 2592

(i) The LCM of 2592 and 2585 is associative

LCM of 2585 and 2592 = LCM of 2592 and 2585

Related Least Common Multiples of 2585

Related Least Common Multiples of 2592

Frequently Asked Questions on LCM of 2585 and 2592

1. What is the LCM of 2585 and 2592?

Answer: LCM of 2585 and 2592 is 6700320.

2. What are the Factors of 2585?

Answer: Factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585. There are 8 integers that are factors of 2585. The greatest factor of 2585 is 2585.

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 2585 and 2592?

Answer:

Least Common Multiple of 2585 and 2592 = 6700320

Step 1: Find the prime factorization of 2585

2585 = 5 x 11 x 47

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 = 6700320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 47

Step 4: Therefore, the least common multiple of 2585 and 2592 is 6700320.