Least Common Multiple of 2558 and 2565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2558 and 2565 the smallest integer that is 6561270 that is divisible by both numbers.

Least Common Multiple (LCM) of 2558 and 2565 is 6561270.

LCM(2558,2565) = 6561270

LCM of 2558 and 2565

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

LCM of:
and

Least Common Multiple of 2558 and 2565

LCM of 2558 and 2565 is 6561270

Least common multiple can be found by multiplying the highest exponent prime factors of 2558 and 2565. First we will calculate the prime factors of 2558 and 2565.

Prime Factorization of 2558


2 2558
1279 1279
1

Prime factors of 2558 are 2,1279. Prime factorization of 2558 in exponential form is:

2558 = 21×12791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2558 and 2565.

LCM(2558,2565) = 21×33×51×191×12791
LCM(2558,2565) = 6561270

Factors of 2558

List of positive integer factors of 2558 that divides 2558 without a remainder.

1, 2, 1279, 2558

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

Least Common Multiple of 2558 and 2565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2558 and 2565, than apply into the LCM equation.

GCF(2558,2565) = 1
LCM(2558,2565) = ( 2558 × 2565) / 1
LCM(2558,2565) = 6561270 / 1
LCM(2558,2565) = 6561270

Properties of LCM 2558 and 2565

(i) The LCM of 2565 and 2558 is associative

LCM of 2558 and 2565 = LCM of 2565 and 2558

Related Least Common Multiples of 2558

Related Least Common Multiples of 2565

Frequently Asked Questions on LCM of 2558 and 2565

1. What is the LCM of 2558 and 2565?

Answer: LCM of 2558 and 2565 is 6561270.

2. What are the Factors of 2558?

Answer: Factors of 2558 are 1, 2, 1279, 2558. There are 4 integers that are factors of 2558. The greatest factor of 2558 is 2558.

3. 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.

4. How to Find the LCM of 2558 and 2565?

Answer:

Least Common Multiple of 2558 and 2565 = 6561270

Step 1: Find the prime factorization of 2558

2558 = 2 x 1279

Step 2: Find the prime factorization of 2565

2565 = 3 x 3 x 3 x 5 x 19

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

LCM = 6561270 = 2 x 3 x 3 x 3 x 5 x 19 x 1279

Step 4: Therefore, the least common multiple of 2558 and 2565 is 6561270.