Least Common Multiple of 2536 and 2541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2536 and 2541 the smallest integer that is 6443976 that is divisible by both numbers.

Least Common Multiple (LCM) of 2536 and 2541 is 6443976.

LCM(2536,2541) = 6443976

LCM of 2536 and 2541

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

LCM of:
and

Least Common Multiple of 2536 and 2541

LCM of 2536 and 2541 is 6443976

Least common multiple can be found by multiplying the highest exponent prime factors of 2536 and 2541. First we will calculate the prime factors of 2536 and 2541.

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

Prime Factorization of 2541


3 2541
7 847
11 121
11 11
1

Prime factors of 2541 are 3, 7,11. Prime factorization of 2541 in exponential form is:

2541 = 31×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2536 and 2541.

LCM(2536,2541) = 23×31×71×112×3171
LCM(2536,2541) = 6443976

Factors of 2536

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

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

Factors of 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541

Least Common Multiple of 2536 and 2541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2536 and 2541, than apply into the LCM equation.

GCF(2536,2541) = 1
LCM(2536,2541) = ( 2536 × 2541) / 1
LCM(2536,2541) = 6443976 / 1
LCM(2536,2541) = 6443976

Properties of LCM 2536 and 2541

(i) The LCM of 2541 and 2536 is associative

LCM of 2536 and 2541 = LCM of 2541 and 2536

Related Least Common Multiples of 2536

Related Least Common Multiples of 2541

Frequently Asked Questions on LCM of 2536 and 2541

1. What is the LCM of 2536 and 2541?

Answer: LCM of 2536 and 2541 is 6443976.

2. 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.

3. What are the Factors of 2541?

Answer: Factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541. There are 12 integers that are factors of 2541. The greatest factor of 2541 is 2541.

4. How to Find the LCM of 2536 and 2541?

Answer:

Least Common Multiple of 2536 and 2541 = 6443976

Step 1: Find the prime factorization of 2536

2536 = 2 x 2 x 2 x 317

Step 2: Find the prime factorization of 2541

2541 = 3 x 7 x 11 x 11

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

LCM = 6443976 = 2 x 2 x 2 x 3 x 7 x 11 x 11 x 317

Step 4: Therefore, the least common multiple of 2536 and 2541 is 6443976.