Least Common Multiple of 5036 and 5044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5036 and 5044 the smallest integer that is 6350396 that is divisible by both numbers.

Least Common Multiple (LCM) of 5036 and 5044 is 6350396.

LCM(5036,5044) = 6350396

LCM of 5036 and 5044

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

LCM of:
and

Least Common Multiple of 5036 and 5044

LCM of 5036 and 5044 is 6350396

Least common multiple can be found by multiplying the highest exponent prime factors of 5036 and 5044. First we will calculate the prime factors of 5036 and 5044.

Prime Factorization of 5036


2 5036
2 2518
1259 1259
1

Prime factors of 5036 are 2,1259. Prime factorization of 5036 in exponential form is:

5036 = 22×12591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5036 and 5044.

LCM(5036,5044) = 22×131×971×12591
LCM(5036,5044) = 6350396

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1, 2, 4, 1259, 2518, 5036

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

Least Common Multiple of 5036 and 5044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5036 and 5044, than apply into the LCM equation.

GCF(5036,5044) = 4
LCM(5036,5044) = ( 5036 × 5044) / 4
LCM(5036,5044) = 25401584 / 4
LCM(5036,5044) = 6350396

Properties of LCM 5036 and 5044

(i) The LCM of 5044 and 5036 is associative

LCM of 5036 and 5044 = LCM of 5044 and 5036

Related Least Common Multiples of 5036

Related Least Common Multiples of 5044

Frequently Asked Questions on LCM of 5036 and 5044

1. What is the LCM of 5036 and 5044?

Answer: LCM of 5036 and 5044 is 6350396.

2. What are the Factors of 5036?

Answer: Factors of 5036 are 1, 2, 4, 1259, 2518, 5036. There are 6 integers that are factors of 5036. The greatest factor of 5036 is 5036.

3. 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.

4. How to Find the LCM of 5036 and 5044?

Answer:

Least Common Multiple of 5036 and 5044 = 6350396

Step 1: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

Step 2: Find the prime factorization of 5044

5044 = 2 x 2 x 13 x 97

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

LCM = 6350396 = 2 x 2 x 13 x 97 x 1259

Step 4: Therefore, the least common multiple of 5036 and 5044 is 6350396.