Least Common Multiple of 2526 and 2530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2526 and 2530 the smallest integer that is 3195390 that is divisible by both numbers.

Least Common Multiple (LCM) of 2526 and 2530 is 3195390.

LCM(2526,2530) = 3195390

LCM of 2526 and 2530

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

LCM of:
and

Least Common Multiple of 2526 and 2530

LCM of 2526 and 2530 is 3195390

Least common multiple can be found by multiplying the highest exponent prime factors of 2526 and 2530. First we will calculate the prime factors of 2526 and 2530.

Prime Factorization of 2526


2 2526
3 1263
421 421
1

Prime factors of 2526 are 2, 3,421. Prime factorization of 2526 in exponential form is:

2526 = 21×31×4211

Prime Factorization of 2530


2 2530
5 1265
11 253
23 23
1

Prime factors of 2530 are 2, 5, 11,23. Prime factorization of 2530 in exponential form is:

2530 = 21×51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2526 and 2530.

LCM(2526,2530) = 21×31×51×111×231×4211
LCM(2526,2530) = 3195390

Factors of 2526

List of positive integer factors of 2526 that divides 2526 without a remainder.

1, 2, 3, 6, 421, 842, 1263, 2526

Factors of 2530

List of positive integer factors of 2530 that divides 2530 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530

Least Common Multiple of 2526 and 2530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2526 and 2530, than apply into the LCM equation.

GCF(2526,2530) = 2
LCM(2526,2530) = ( 2526 × 2530) / 2
LCM(2526,2530) = 6390780 / 2
LCM(2526,2530) = 3195390

Properties of LCM 2526 and 2530

(i) The LCM of 2530 and 2526 is associative

LCM of 2526 and 2530 = LCM of 2530 and 2526

Related Least Common Multiples of 2526

Related Least Common Multiples of 2530

Frequently Asked Questions on LCM of 2526 and 2530

1. What is the LCM of 2526 and 2530?

Answer: LCM of 2526 and 2530 is 3195390.

2. What are the Factors of 2526?

Answer: Factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526. There are 8 integers that are factors of 2526. The greatest factor of 2526 is 2526.

3. What are the Factors of 2530?

Answer: Factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530. There are 16 integers that are factors of 2530. The greatest factor of 2530 is 2530.

4. How to Find the LCM of 2526 and 2530?

Answer:

Least Common Multiple of 2526 and 2530 = 3195390

Step 1: Find the prime factorization of 2526

2526 = 2 x 3 x 421

Step 2: Find the prime factorization of 2530

2530 = 2 x 5 x 11 x 23

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

LCM = 3195390 = 2 x 3 x 5 x 11 x 23 x 421

Step 4: Therefore, the least common multiple of 2526 and 2530 is 3195390.