Least Common Multiple of 2522 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 2522 and 2529 the smallest integer that is 6378138 that is divisible by both numbers.

Least Common Multiple (LCM) of 2522 and 2529 is 6378138.

LCM(2522,2529) = 6378138

LCM of 2522 and 2529

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

LCM of:
and

Least Common Multiple of 2522 and 2529

LCM of 2522 and 2529 is 6378138

Least common multiple can be found by multiplying the highest exponent prime factors of 2522 and 2529. First we will calculate the prime factors of 2522 and 2529.

Prime Factorization of 2522


2 2522
13 1261
97 97
1

Prime factors of 2522 are 2, 13,97. Prime factorization of 2522 in exponential form is:

2522 = 21×131×971

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 2522 and 2529.

LCM(2522,2529) = 21×32×131×971×2811
LCM(2522,2529) = 6378138

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1, 2, 13, 26, 97, 194, 1261, 2522

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 2522 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 2522 and 2529, than apply into the LCM equation.

GCF(2522,2529) = 1
LCM(2522,2529) = ( 2522 × 2529) / 1
LCM(2522,2529) = 6378138 / 1
LCM(2522,2529) = 6378138

Properties of LCM 2522 and 2529

(i) The LCM of 2529 and 2522 is associative

LCM of 2522 and 2529 = LCM of 2529 and 2522

Related Least Common Multiples of 2522

Related Least Common Multiples of 2529

Frequently Asked Questions on LCM of 2522 and 2529

1. What is the LCM of 2522 and 2529?

Answer: LCM of 2522 and 2529 is 6378138.

2. What are the Factors of 2522?

Answer: Factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522. There are 8 integers that are factors of 2522. The greatest factor of 2522 is 2522.

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 2522 and 2529?

Answer:

Least Common Multiple of 2522 and 2529 = 6378138

Step 1: Find the prime factorization of 2522

2522 = 2 x 13 x 97

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 = 6378138 = 2 x 3 x 3 x 13 x 97 x 281

Step 4: Therefore, the least common multiple of 2522 and 2529 is 6378138.