Least Common Multiple of 2565 and 2572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2565 and 2572 the smallest integer that is 6597180 that is divisible by both numbers.

Least Common Multiple (LCM) of 2565 and 2572 is 6597180.

LCM(2565,2572) = 6597180

LCM of 2565 and 2572

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

LCM of:
and

Least Common Multiple of 2565 and 2572

LCM of 2565 and 2572 is 6597180

Least common multiple can be found by multiplying the highest exponent prime factors of 2565 and 2572. First we will calculate the prime factors of 2565 and 2572.

Prime Factorization of 2565


3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 2565 are 3, 5,19. Prime factorization of 2565 in exponential form is:

2565 = 33×51×191

Prime Factorization of 2572


2 2572
2 1286
643 643
1

Prime factors of 2572 are 2,643. Prime factorization of 2572 in exponential form is:

2572 = 22×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 2565 and 2572.

LCM(2565,2572) = 22×33×51×191×6431
LCM(2565,2572) = 6597180

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565

Factors of 2572

List of positive integer factors of 2572 that divides 2572 without a remainder.

1, 2, 4, 643, 1286, 2572

Least Common Multiple of 2565 and 2572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2565 and 2572, than apply into the LCM equation.

GCF(2565,2572) = 1
LCM(2565,2572) = ( 2565 × 2572) / 1
LCM(2565,2572) = 6597180 / 1
LCM(2565,2572) = 6597180

Properties of LCM 2565 and 2572

(i) The LCM of 2572 and 2565 is associative

LCM of 2565 and 2572 = LCM of 2572 and 2565

Related Least Common Multiples of 2565

Related Least Common Multiples of 2572

Frequently Asked Questions on LCM of 2565 and 2572

1. What is the LCM of 2565 and 2572?

Answer: LCM of 2565 and 2572 is 6597180.

2. What are the Factors of 2565?

Answer: Factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565. There are 16 integers that are factors of 2565. The greatest factor of 2565 is 2565.

3. What are the Factors of 2572?

Answer: Factors of 2572 are 1, 2, 4, 643, 1286, 2572. There are 6 integers that are factors of 2572. The greatest factor of 2572 is 2572.

4. How to Find the LCM of 2565 and 2572?

Answer:

Least Common Multiple of 2565 and 2572 = 6597180

Step 1: Find the prime factorization of 2565

2565 = 3 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 2572

2572 = 2 x 2 x 643

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

LCM = 6597180 = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 643

Step 4: Therefore, the least common multiple of 2565 and 2572 is 6597180.