Least Common Multiple of 5044 and 5048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5044 and 5048 the smallest integer that is 6365528 that is divisible by both numbers.

Least Common Multiple (LCM) of 5044 and 5048 is 6365528.

LCM(5044,5048) = 6365528

LCM of 5044 and 5048

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

LCM of:
and

Least Common Multiple of 5044 and 5048

LCM of 5044 and 5048 is 6365528

Least common multiple can be found by multiplying the highest exponent prime factors of 5044 and 5048. First we will calculate the prime factors of 5044 and 5048.

Prime Factorization of 5044


2 5044
2 2522
13 1261
97 97
1

Prime factors of 5044 are 2, 13,97. Prime factorization of 5044 in exponential form is:

5044 = 22×131×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5044 and 5048.

LCM(5044,5048) = 23×131×971×6311
LCM(5044,5048) = 6365528

Factors of 5044

List of positive integer factors of 5044 that divides 5044 without a remainder.

1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044

Factors of 5048

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

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

Least Common Multiple of 5044 and 5048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5044 and 5048, than apply into the LCM equation.

GCF(5044,5048) = 4
LCM(5044,5048) = ( 5044 × 5048) / 4
LCM(5044,5048) = 25462112 / 4
LCM(5044,5048) = 6365528

Properties of LCM 5044 and 5048

(i) The LCM of 5048 and 5044 is associative

LCM of 5044 and 5048 = LCM of 5048 and 5044

Related Least Common Multiples of 5044

Related Least Common Multiples of 5048

Frequently Asked Questions on LCM of 5044 and 5048

1. What is the LCM of 5044 and 5048?

Answer: LCM of 5044 and 5048 is 6365528.

2. What are the Factors of 5044?

Answer: Factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044. There are 12 integers that are factors of 5044. The greatest factor of 5044 is 5044.

3. 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.

4. How to Find the LCM of 5044 and 5048?

Answer:

Least Common Multiple of 5044 and 5048 = 6365528

Step 1: Find the prime factorization of 5044

5044 = 2 x 2 x 13 x 97

Step 2: Find the prime factorization of 5048

5048 = 2 x 2 x 2 x 631

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

LCM = 6365528 = 2 x 2 x 2 x 13 x 97 x 631

Step 4: Therefore, the least common multiple of 5044 and 5048 is 6365528.