Least Common Multiple of 2569 and 2573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2569 and 2573 the smallest integer that is 6610037 that is divisible by both numbers.

Least Common Multiple (LCM) of 2569 and 2573 is 6610037.

LCM(2569,2573) = 6610037

LCM of 2569 and 2573

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

LCM of:
and

Least Common Multiple of 2569 and 2573

LCM of 2569 and 2573 is 6610037

Least common multiple can be found by multiplying the highest exponent prime factors of 2569 and 2573. First we will calculate the prime factors of 2569 and 2573.

Prime Factorization of 2569


7 2569
367 367
1

Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:

2569 = 71×3671

Prime Factorization of 2573


31 2573
83 83
1

Prime factors of 2573 are 31,83. Prime factorization of 2573 in exponential form is:

2573 = 311×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2569 and 2573.

LCM(2569,2573) = 71×311×831×3671
LCM(2569,2573) = 6610037

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1, 7, 367, 2569

Factors of 2573

List of positive integer factors of 2573 that divides 2573 without a remainder.

1, 31, 83, 2573

Least Common Multiple of 2569 and 2573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2569 and 2573, than apply into the LCM equation.

GCF(2569,2573) = 1
LCM(2569,2573) = ( 2569 × 2573) / 1
LCM(2569,2573) = 6610037 / 1
LCM(2569,2573) = 6610037

Properties of LCM 2569 and 2573

(i) The LCM of 2573 and 2569 is associative

LCM of 2569 and 2573 = LCM of 2573 and 2569

Related Least Common Multiples of 2569

Related Least Common Multiples of 2573

Frequently Asked Questions on LCM of 2569 and 2573

1. What is the LCM of 2569 and 2573?

Answer: LCM of 2569 and 2573 is 6610037.

2. What are the Factors of 2569?

Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.

3. What are the Factors of 2573?

Answer: Factors of 2573 are 1, 31, 83, 2573. There are 4 integers that are factors of 2573. The greatest factor of 2573 is 2573.

4. How to Find the LCM of 2569 and 2573?

Answer:

Least Common Multiple of 2569 and 2573 = 6610037

Step 1: Find the prime factorization of 2569

2569 = 7 x 367

Step 2: Find the prime factorization of 2573

2573 = 31 x 83

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

LCM = 6610037 = 7 x 31 x 83 x 367

Step 4: Therefore, the least common multiple of 2569 and 2573 is 6610037.