Least Common Multiple of 2548 and 2552

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 2552 the smallest integer that is 1625624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2548 and 2552 is 1625624.

LCM(2548,2552) = 1625624

LCM of 2548 and 2552

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

LCM of:
and

Least Common Multiple of 2548 and 2552

LCM of 2548 and 2552 is 1625624

Least common multiple can be found by multiplying the highest exponent prime factors of 2548 and 2552. First we will calculate the prime factors of 2548 and 2552.

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 2552


2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 2552 are 2, 11,29. Prime factorization of 2552 in exponential form is:

2552 = 23×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2548 and 2552.

LCM(2548,2552) = 23×72×111×131×291
LCM(2548,2552) = 1625624

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 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552

Least Common Multiple of 2548 and 2552 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 2552, than apply into the LCM equation.

GCF(2548,2552) = 4
LCM(2548,2552) = ( 2548 × 2552) / 4
LCM(2548,2552) = 6502496 / 4
LCM(2548,2552) = 1625624

Properties of LCM 2548 and 2552

(i) The LCM of 2552 and 2548 is associative

LCM of 2548 and 2552 = LCM of 2552 and 2548

Related Least Common Multiples of 2548

Related Least Common Multiples of 2552

Frequently Asked Questions on LCM of 2548 and 2552

1. What is the LCM of 2548 and 2552?

Answer: LCM of 2548 and 2552 is 1625624.

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 2552?

Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.

4. How to Find the LCM of 2548 and 2552?

Answer:

Least Common Multiple of 2548 and 2552 = 1625624

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 2552

2552 = 2 x 2 x 2 x 11 x 29

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

LCM = 1625624 = 2 x 2 x 2 x 7 x 7 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 2548 and 2552 is 1625624.