Least Common Multiple of 2548 and 2551

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 2551 the smallest integer that is 6499948 that is divisible by both numbers.

Least Common Multiple (LCM) of 2548 and 2551 is 6499948.

LCM(2548,2551) = 6499948

LCM of 2548 and 2551

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

LCM of:
and

Least Common Multiple of 2548 and 2551

LCM of 2548 and 2551 is 6499948

Least common multiple can be found by multiplying the highest exponent prime factors of 2548 and 2551. First we will calculate the prime factors of 2548 and 2551.

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 2551


2551 2551
1

Prime factors of 2551 are 2551. Prime factorization of 2551 in exponential form is:

2551 = 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 2548 and 2551.

LCM(2548,2551) = 22×72×131×25511
LCM(2548,2551) = 6499948

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 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1, 2551

Least Common Multiple of 2548 and 2551 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 2551, than apply into the LCM equation.

GCF(2548,2551) = 1
LCM(2548,2551) = ( 2548 × 2551) / 1
LCM(2548,2551) = 6499948 / 1
LCM(2548,2551) = 6499948

Properties of LCM 2548 and 2551

(i) The LCM of 2551 and 2548 is associative

LCM of 2548 and 2551 = LCM of 2551 and 2548

Related Least Common Multiples of 2548

Related Least Common Multiples of 2551

Frequently Asked Questions on LCM of 2548 and 2551

1. What is the LCM of 2548 and 2551?

Answer: LCM of 2548 and 2551 is 6499948.

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 2551?

Answer: Factors of 2551 are 1, 2551. There are 2 integers that are factors of 2551. The greatest factor of 2551 is 2551.

4. How to Find the LCM of 2548 and 2551?

Answer:

Least Common Multiple of 2548 and 2551 = 6499948

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 2551

2551 = 2551

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

LCM = 6499948 = 2 x 2 x 7 x 7 x 13 x 2551

Step 4: Therefore, the least common multiple of 2548 and 2551 is 6499948.