Least Common Multiple of 2530 and 2536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2530 and 2536 the smallest integer that is 3208040 that is divisible by both numbers.

Least Common Multiple (LCM) of 2530 and 2536 is 3208040.

LCM(2530,2536) = 3208040

LCM of 2530 and 2536

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

LCM of:
and

Least Common Multiple of 2530 and 2536

LCM of 2530 and 2536 is 3208040

Least common multiple can be found by multiplying the highest exponent prime factors of 2530 and 2536. First we will calculate the prime factors of 2530 and 2536.

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

Prime Factorization of 2536


2 2536
2 1268
2 634
317 317
1

Prime factors of 2536 are 2,317. Prime factorization of 2536 in exponential form is:

2536 = 23×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 2530 and 2536.

LCM(2530,2536) = 23×51×111×231×3171
LCM(2530,2536) = 3208040

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

Factors of 2536

List of positive integer factors of 2536 that divides 2536 without a remainder.

1, 2, 4, 8, 317, 634, 1268, 2536

Least Common Multiple of 2530 and 2536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2530 and 2536, than apply into the LCM equation.

GCF(2530,2536) = 2
LCM(2530,2536) = ( 2530 × 2536) / 2
LCM(2530,2536) = 6416080 / 2
LCM(2530,2536) = 3208040

Properties of LCM 2530 and 2536

(i) The LCM of 2536 and 2530 is associative

LCM of 2530 and 2536 = LCM of 2536 and 2530

Related Least Common Multiples of 2530

Related Least Common Multiples of 2536

Frequently Asked Questions on LCM of 2530 and 2536

1. What is the LCM of 2530 and 2536?

Answer: LCM of 2530 and 2536 is 3208040.

2. 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.

3. What are the Factors of 2536?

Answer: Factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536. There are 8 integers that are factors of 2536. The greatest factor of 2536 is 2536.

4. How to Find the LCM of 2530 and 2536?

Answer:

Least Common Multiple of 2530 and 2536 = 3208040

Step 1: Find the prime factorization of 2530

2530 = 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 2536

2536 = 2 x 2 x 2 x 317

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

LCM = 3208040 = 2 x 2 x 2 x 5 x 11 x 23 x 317

Step 4: Therefore, the least common multiple of 2530 and 2536 is 3208040.