Least Common Multiple of 2569 and 2577

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 2577 the smallest integer that is 6620313 that is divisible by both numbers.

Least Common Multiple (LCM) of 2569 and 2577 is 6620313.

LCM(2569,2577) = 6620313

LCM of 2569 and 2577

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

LCM of:
and

Least Common Multiple of 2569 and 2577

LCM of 2569 and 2577 is 6620313

Least common multiple can be found by multiplying the highest exponent prime factors of 2569 and 2577. First we will calculate the prime factors of 2569 and 2577.

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 2577


3 2577
859 859
1

Prime factors of 2577 are 3,859. Prime factorization of 2577 in exponential form is:

2577 = 31×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 2569 and 2577.

LCM(2569,2577) = 31×71×3671×8591
LCM(2569,2577) = 6620313

Factors of 2569

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

1, 7, 367, 2569

Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1, 3, 859, 2577

Least Common Multiple of 2569 and 2577 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 2577, than apply into the LCM equation.

GCF(2569,2577) = 1
LCM(2569,2577) = ( 2569 × 2577) / 1
LCM(2569,2577) = 6620313 / 1
LCM(2569,2577) = 6620313

Properties of LCM 2569 and 2577

(i) The LCM of 2577 and 2569 is associative

LCM of 2569 and 2577 = LCM of 2577 and 2569

Related Least Common Multiples of 2569

Related Least Common Multiples of 2577

Frequently Asked Questions on LCM of 2569 and 2577

1. What is the LCM of 2569 and 2577?

Answer: LCM of 2569 and 2577 is 6620313.

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 2577?

Answer: Factors of 2577 are 1, 3, 859, 2577. There are 4 integers that are factors of 2577. The greatest factor of 2577 is 2577.

4. How to Find the LCM of 2569 and 2577?

Answer:

Least Common Multiple of 2569 and 2577 = 6620313

Step 1: Find the prime factorization of 2569

2569 = 7 x 367

Step 2: Find the prime factorization of 2577

2577 = 3 x 859

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

LCM = 6620313 = 3 x 7 x 367 x 859

Step 4: Therefore, the least common multiple of 2569 and 2577 is 6620313.