Least Common Multiple of 2524 and 2529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2524 and 2529 the smallest integer that is 6383196 that is divisible by both numbers.

Least Common Multiple (LCM) of 2524 and 2529 is 6383196.

LCM(2524,2529) = 6383196

LCM of 2524 and 2529

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

LCM of:
and

Least Common Multiple of 2524 and 2529

LCM of 2524 and 2529 is 6383196

Least common multiple can be found by multiplying the highest exponent prime factors of 2524 and 2529. First we will calculate the prime factors of 2524 and 2529.

Prime Factorization of 2524


2 2524
2 1262
631 631
1

Prime factors of 2524 are 2,631. Prime factorization of 2524 in exponential form is:

2524 = 22×6311

Prime Factorization of 2529


3 2529
3 843
281 281
1

Prime factors of 2529 are 3,281. Prime factorization of 2529 in exponential form is:

2529 = 32×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 2524 and 2529.

LCM(2524,2529) = 22×32×2811×6311
LCM(2524,2529) = 6383196

Factors of 2524

List of positive integer factors of 2524 that divides 2524 without a remainder.

1, 2, 4, 631, 1262, 2524

Factors of 2529

List of positive integer factors of 2529 that divides 2529 without a remainder.

1, 3, 9, 281, 843, 2529

Least Common Multiple of 2524 and 2529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2524 and 2529, than apply into the LCM equation.

GCF(2524,2529) = 1
LCM(2524,2529) = ( 2524 × 2529) / 1
LCM(2524,2529) = 6383196 / 1
LCM(2524,2529) = 6383196

Properties of LCM 2524 and 2529

(i) The LCM of 2529 and 2524 is associative

LCM of 2524 and 2529 = LCM of 2529 and 2524

Related Least Common Multiples of 2524

Related Least Common Multiples of 2529

Frequently Asked Questions on LCM of 2524 and 2529

1. What is the LCM of 2524 and 2529?

Answer: LCM of 2524 and 2529 is 6383196.

2. What are the Factors of 2524?

Answer: Factors of 2524 are 1, 2, 4, 631, 1262, 2524. There are 6 integers that are factors of 2524. The greatest factor of 2524 is 2524.

3. What are the Factors of 2529?

Answer: Factors of 2529 are 1, 3, 9, 281, 843, 2529. There are 6 integers that are factors of 2529. The greatest factor of 2529 is 2529.

4. How to Find the LCM of 2524 and 2529?

Answer:

Least Common Multiple of 2524 and 2529 = 6383196

Step 1: Find the prime factorization of 2524

2524 = 2 x 2 x 631

Step 2: Find the prime factorization of 2529

2529 = 3 x 3 x 281

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

LCM = 6383196 = 2 x 2 x 3 x 3 x 281 x 631

Step 4: Therefore, the least common multiple of 2524 and 2529 is 6383196.