Least Common Multiple of 2548 and 2549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2548 and 2549 the smallest integer that is 6494852 that is divisible by both numbers.

Least Common Multiple (LCM) of 2548 and 2549 is 6494852.

LCM(2548,2549) = 6494852

LCM of 2548 and 2549

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

LCM of:
and

Least Common Multiple of 2548 and 2549

LCM of 2548 and 2549 is 6494852

Least common multiple can be found by multiplying the highest exponent prime factors of 2548 and 2549. First we will calculate the prime factors of 2548 and 2549.

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

Prime Factorization of 2549


2549 2549
1

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 2548 and 2549.

LCM(2548,2549) = 22×72×131×25491
LCM(2548,2549) = 6494852

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

Factors of 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

1, 2549

Least Common Multiple of 2548 and 2549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2548 and 2549, than apply into the LCM equation.

GCF(2548,2549) = 1
LCM(2548,2549) = ( 2548 × 2549) / 1
LCM(2548,2549) = 6494852 / 1
LCM(2548,2549) = 6494852

Properties of LCM 2548 and 2549

(i) The LCM of 2549 and 2548 is associative

LCM of 2548 and 2549 = LCM of 2549 and 2548

Related Least Common Multiples of 2548

Related Least Common Multiples of 2549

Frequently Asked Questions on LCM of 2548 and 2549

1. What is the LCM of 2548 and 2549?

Answer: LCM of 2548 and 2549 is 6494852.

2. 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.

3. What are the Factors of 2549?

Answer: Factors of 2549 are 1, 2549. There are 2 integers that are factors of 2549. The greatest factor of 2549 is 2549.

4. How to Find the LCM of 2548 and 2549?

Answer:

Least Common Multiple of 2548 and 2549 = 6494852

Step 1: Find the prime factorization of 2548

2548 = 2 x 2 x 7 x 7 x 13

Step 2: Find the prime factorization of 2549

2549 = 2549

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

LCM = 6494852 = 2 x 2 x 7 x 7 x 13 x 2549

Step 4: Therefore, the least common multiple of 2548 and 2549 is 6494852.