Least Common Multiple of 2543 and 2548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2543 and 2548 the smallest integer that is 6479564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2543 and 2548 is 6479564.

LCM(2543,2548) = 6479564

LCM of 2543 and 2548

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

LCM of:
and

Least Common Multiple of 2543 and 2548

LCM of 2543 and 2548 is 6479564

Least common multiple can be found by multiplying the highest exponent prime factors of 2543 and 2548. First we will calculate the prime factors of 2543 and 2548.

Prime Factorization of 2543


2543 2543
1

Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:

2543 = 25431

Prime Factorization of 2548


2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 2548 are 2, 7,13. Prime factorization of 2548 in exponential form is:

2548 = 22×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2543 and 2548.

LCM(2543,2548) = 22×72×131×25431
LCM(2543,2548) = 6479564

Factors of 2543

List of positive integer factors of 2543 that divides 2543 without a remainder.

1, 2543

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548

Least Common Multiple of 2543 and 2548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2543 and 2548, than apply into the LCM equation.

GCF(2543,2548) = 1
LCM(2543,2548) = ( 2543 × 2548) / 1
LCM(2543,2548) = 6479564 / 1
LCM(2543,2548) = 6479564

Properties of LCM 2543 and 2548

(i) The LCM of 2548 and 2543 is associative

LCM of 2543 and 2548 = LCM of 2548 and 2543

Related Least Common Multiples of 2543

Related Least Common Multiples of 2548

Frequently Asked Questions on LCM of 2543 and 2548

1. What is the LCM of 2543 and 2548?

Answer: LCM of 2543 and 2548 is 6479564.

2. What are the Factors of 2543?

Answer: Factors of 2543 are 1, 2543. There are 2 integers that are factors of 2543. The greatest factor of 2543 is 2543.

3. What are the Factors of 2548?

Answer: Factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548. There are 18 integers that are factors of 2548. The greatest factor of 2548 is 2548.

4. How to Find the LCM of 2543 and 2548?

Answer:

Least Common Multiple of 2543 and 2548 = 6479564

Step 1: Find the prime factorization of 2543

2543 = 2543

Step 2: Find the prime factorization of 2548

2548 = 2 x 2 x 7 x 7 x 13

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

LCM = 6479564 = 2 x 2 x 7 x 7 x 13 x 2543

Step 4: Therefore, the least common multiple of 2543 and 2548 is 6479564.