Least Common Multiple of 2592 and 2596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2592 and 2596 the smallest integer that is 1682208 that is divisible by both numbers.

Least Common Multiple (LCM) of 2592 and 2596 is 1682208.

LCM(2592,2596) = 1682208

LCM of 2592 and 2596

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

LCM of:
and

Least Common Multiple of 2592 and 2596

LCM of 2592 and 2596 is 1682208

Least common multiple can be found by multiplying the highest exponent prime factors of 2592 and 2596. First we will calculate the prime factors of 2592 and 2596.

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

Prime Factorization of 2596


2 2596
2 1298
11 649
59 59
1

Prime factors of 2596 are 2, 11,59. Prime factorization of 2596 in exponential form is:

2596 = 22×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2592 and 2596.

LCM(2592,2596) = 25×34×111×591
LCM(2592,2596) = 1682208

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

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

Least Common Multiple of 2592 and 2596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2592 and 2596, than apply into the LCM equation.

GCF(2592,2596) = 4
LCM(2592,2596) = ( 2592 × 2596) / 4
LCM(2592,2596) = 6728832 / 4
LCM(2592,2596) = 1682208

Properties of LCM 2592 and 2596

(i) The LCM of 2596 and 2592 is associative

LCM of 2592 and 2596 = LCM of 2596 and 2592

Related Least Common Multiples of 2592

Related Least Common Multiples of 2596

Frequently Asked Questions on LCM of 2592 and 2596

1. What is the LCM of 2592 and 2596?

Answer: LCM of 2592 and 2596 is 1682208.

2. 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.

3. What are the Factors of 2596?

Answer: Factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596. There are 12 integers that are factors of 2596. The greatest factor of 2596 is 2596.

4. How to Find the LCM of 2592 and 2596?

Answer:

Least Common Multiple of 2592 and 2596 = 1682208

Step 1: 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 2: Find the prime factorization of 2596

2596 = 2 x 2 x 11 x 59

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

LCM = 1682208 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 2592 and 2596 is 1682208.