Least Common Multiple of 5048 and 5054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5048 and 5054 the smallest integer that is 12756296 that is divisible by both numbers.

Least Common Multiple (LCM) of 5048 and 5054 is 12756296.

LCM(5048,5054) = 12756296

LCM of 5048 and 5054

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

LCM of:
and

Least Common Multiple of 5048 and 5054

LCM of 5048 and 5054 is 12756296

Least common multiple can be found by multiplying the highest exponent prime factors of 5048 and 5054. First we will calculate the prime factors of 5048 and 5054.

Prime Factorization of 5048


2 5048
2 2524
2 1262
631 631
1

Prime factors of 5048 are 2,631. Prime factorization of 5048 in exponential form is:

5048 = 23×6311

Prime Factorization of 5054


2 5054
7 2527
19 361
19 19
1

Prime factors of 5054 are 2, 7,19. Prime factorization of 5054 in exponential form is:

5054 = 21×71×192

Now multiplying the highest exponent prime factors to calculate the LCM of 5048 and 5054.

LCM(5048,5054) = 23×71×192×6311
LCM(5048,5054) = 12756296

Factors of 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1, 2, 4, 8, 631, 1262, 2524, 5048

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054

Least Common Multiple of 5048 and 5054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5048 and 5054, than apply into the LCM equation.

GCF(5048,5054) = 2
LCM(5048,5054) = ( 5048 × 5054) / 2
LCM(5048,5054) = 25512592 / 2
LCM(5048,5054) = 12756296

Properties of LCM 5048 and 5054

(i) The LCM of 5054 and 5048 is associative

LCM of 5048 and 5054 = LCM of 5054 and 5048

Related Least Common Multiples of 5048

Related Least Common Multiples of 5054

Frequently Asked Questions on LCM of 5048 and 5054

1. What is the LCM of 5048 and 5054?

Answer: LCM of 5048 and 5054 is 12756296.

2. What are the Factors of 5048?

Answer: Factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048. There are 8 integers that are factors of 5048. The greatest factor of 5048 is 5048.

3. What are the Factors of 5054?

Answer: Factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054. There are 12 integers that are factors of 5054. The greatest factor of 5054 is 5054.

4. How to Find the LCM of 5048 and 5054?

Answer:

Least Common Multiple of 5048 and 5054 = 12756296

Step 1: Find the prime factorization of 5048

5048 = 2 x 2 x 2 x 631

Step 2: Find the prime factorization of 5054

5054 = 2 x 7 x 19 x 19

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

LCM = 12756296 = 2 x 2 x 2 x 7 x 19 x 19 x 631

Step 4: Therefore, the least common multiple of 5048 and 5054 is 12756296.