Least Common Multiple of 2565 and 2571

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 2571 the smallest integer that is 2198205 that is divisible by both numbers.

Least Common Multiple (LCM) of 2565 and 2571 is 2198205.

LCM(2565,2571) = 2198205

LCM of 2565 and 2571

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

LCM of:
and

Least Common Multiple of 2565 and 2571

LCM of 2565 and 2571 is 2198205

Least common multiple can be found by multiplying the highest exponent prime factors of 2565 and 2571. First we will calculate the prime factors of 2565 and 2571.

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 2571


3 2571
857 857
1

Prime factors of 2571 are 3,857. Prime factorization of 2571 in exponential form is:

2571 = 31×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 2565 and 2571.

LCM(2565,2571) = 33×51×191×8571
LCM(2565,2571) = 2198205

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 2571

List of positive integer factors of 2571 that divides 2571 without a remainder.

1, 3, 857, 2571

Least Common Multiple of 2565 and 2571 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 2571, than apply into the LCM equation.

GCF(2565,2571) = 3
LCM(2565,2571) = ( 2565 × 2571) / 3
LCM(2565,2571) = 6594615 / 3
LCM(2565,2571) = 2198205

Properties of LCM 2565 and 2571

(i) The LCM of 2571 and 2565 is associative

LCM of 2565 and 2571 = LCM of 2571 and 2565

Related Least Common Multiples of 2565

Related Least Common Multiples of 2571

Frequently Asked Questions on LCM of 2565 and 2571

1. What is the LCM of 2565 and 2571?

Answer: LCM of 2565 and 2571 is 2198205.

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 2571?

Answer: Factors of 2571 are 1, 3, 857, 2571. There are 4 integers that are factors of 2571. The greatest factor of 2571 is 2571.

4. How to Find the LCM of 2565 and 2571?

Answer:

Least Common Multiple of 2565 and 2571 = 2198205

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 2571

2571 = 3 x 857

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

LCM = 2198205 = 3 x 3 x 3 x 5 x 19 x 857

Step 4: Therefore, the least common multiple of 2565 and 2571 is 2198205.