Least Common Multiple of 2592 and 2598

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 2598 the smallest integer that is 1122336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2592 and 2598 is 1122336.

LCM(2592,2598) = 1122336

LCM of 2592 and 2598

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

LCM of:
and

Least Common Multiple of 2592 and 2598

LCM of 2592 and 2598 is 1122336

Least common multiple can be found by multiplying the highest exponent prime factors of 2592 and 2598. First we will calculate the prime factors of 2592 and 2598.

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 2598


2 2598
3 1299
433 433
1

Prime factors of 2598 are 2, 3,433. Prime factorization of 2598 in exponential form is:

2598 = 21×31×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 2592 and 2598.

LCM(2592,2598) = 25×34×4331
LCM(2592,2598) = 1122336

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 2598

List of positive integer factors of 2598 that divides 2598 without a remainder.

1, 2, 3, 6, 433, 866, 1299, 2598

Least Common Multiple of 2592 and 2598 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 2598, than apply into the LCM equation.

GCF(2592,2598) = 6
LCM(2592,2598) = ( 2592 × 2598) / 6
LCM(2592,2598) = 6734016 / 6
LCM(2592,2598) = 1122336

Properties of LCM 2592 and 2598

(i) The LCM of 2598 and 2592 is associative

LCM of 2592 and 2598 = LCM of 2598 and 2592

Related Least Common Multiples of 2592

Related Least Common Multiples of 2598

Frequently Asked Questions on LCM of 2592 and 2598

1. What is the LCM of 2592 and 2598?

Answer: LCM of 2592 and 2598 is 1122336.

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 2598?

Answer: Factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598. There are 8 integers that are factors of 2598. The greatest factor of 2598 is 2598.

4. How to Find the LCM of 2592 and 2598?

Answer:

Least Common Multiple of 2592 and 2598 = 1122336

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 2598

2598 = 2 x 3 x 433

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

LCM = 1122336 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 433

Step 4: Therefore, the least common multiple of 2592 and 2598 is 1122336.