Least Common Multiple of 2541 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 2541 and 2548 the smallest integer that is 924924 that is divisible by both numbers.

Least Common Multiple (LCM) of 2541 and 2548 is 924924.

LCM(2541,2548) = 924924

LCM of 2541 and 2548

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

LCM of:
and

Least Common Multiple of 2541 and 2548

LCM of 2541 and 2548 is 924924

Least common multiple can be found by multiplying the highest exponent prime factors of 2541 and 2548. First we will calculate the prime factors of 2541 and 2548.

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

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 2541 and 2548.

LCM(2541,2548) = 22×31×72×112×131
LCM(2541,2548) = 924924

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

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 2541 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 2541 and 2548, than apply into the LCM equation.

GCF(2541,2548) = 7
LCM(2541,2548) = ( 2541 × 2548) / 7
LCM(2541,2548) = 6474468 / 7
LCM(2541,2548) = 924924

Properties of LCM 2541 and 2548

(i) The LCM of 2548 and 2541 is associative

LCM of 2541 and 2548 = LCM of 2548 and 2541

Related Least Common Multiples of 2541

Related Least Common Multiples of 2548

Frequently Asked Questions on LCM of 2541 and 2548

1. What is the LCM of 2541 and 2548?

Answer: LCM of 2541 and 2548 is 924924.

2. 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.

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 2541 and 2548?

Answer:

Least Common Multiple of 2541 and 2548 = 924924

Step 1: Find the prime factorization of 2541

2541 = 3 x 7 x 11 x 11

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 = 924924 = 2 x 2 x 3 x 7 x 7 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 2541 and 2548 is 924924.