Least Common Multiple of 2565 and 2570

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 2570 the smallest integer that is 1318410 that is divisible by both numbers.

Least Common Multiple (LCM) of 2565 and 2570 is 1318410.

LCM(2565,2570) = 1318410

LCM of 2565 and 2570

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

LCM of:
and

Least Common Multiple of 2565 and 2570

LCM of 2565 and 2570 is 1318410

Least common multiple can be found by multiplying the highest exponent prime factors of 2565 and 2570. First we will calculate the prime factors of 2565 and 2570.

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 2570


2 2570
5 1285
257 257
1

Prime factors of 2570 are 2, 5,257. Prime factorization of 2570 in exponential form is:

2570 = 21×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2565 and 2570.

LCM(2565,2570) = 21×33×51×191×2571
LCM(2565,2570) = 1318410

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 2570

List of positive integer factors of 2570 that divides 2570 without a remainder.

1, 2, 5, 10, 257, 514, 1285, 2570

Least Common Multiple of 2565 and 2570 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 2570, than apply into the LCM equation.

GCF(2565,2570) = 5
LCM(2565,2570) = ( 2565 × 2570) / 5
LCM(2565,2570) = 6592050 / 5
LCM(2565,2570) = 1318410

Properties of LCM 2565 and 2570

(i) The LCM of 2570 and 2565 is associative

LCM of 2565 and 2570 = LCM of 2570 and 2565

Related Least Common Multiples of 2565

Related Least Common Multiples of 2570

Frequently Asked Questions on LCM of 2565 and 2570

1. What is the LCM of 2565 and 2570?

Answer: LCM of 2565 and 2570 is 1318410.

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 2570?

Answer: Factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570. There are 8 integers that are factors of 2570. The greatest factor of 2570 is 2570.

4. How to Find the LCM of 2565 and 2570?

Answer:

Least Common Multiple of 2565 and 2570 = 1318410

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 2570

2570 = 2 x 5 x 257

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

LCM = 1318410 = 2 x 3 x 3 x 3 x 5 x 19 x 257

Step 4: Therefore, the least common multiple of 2565 and 2570 is 1318410.