Least Common Multiple of 5036 and 5043

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 5043 the smallest integer that is 25396548 that is divisible by both numbers.

Least Common Multiple (LCM) of 5036 and 5043 is 25396548.

LCM(5036,5043) = 25396548

LCM of 5036 and 5043

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

LCM of:
and

Least Common Multiple of 5036 and 5043

LCM of 5036 and 5043 is 25396548

Least common multiple can be found by multiplying the highest exponent prime factors of 5036 and 5043. First we will calculate the prime factors of 5036 and 5043.

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 5043


3 5043
41 1681
41 41
1

Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:

5043 = 31×412

Now multiplying the highest exponent prime factors to calculate the LCM of 5036 and 5043.

LCM(5036,5043) = 22×31×412×12591
LCM(5036,5043) = 25396548

Factors of 5036

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

1, 2, 4, 1259, 2518, 5036

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1, 3, 41, 123, 1681, 5043

Least Common Multiple of 5036 and 5043 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 5043, than apply into the LCM equation.

GCF(5036,5043) = 1
LCM(5036,5043) = ( 5036 × 5043) / 1
LCM(5036,5043) = 25396548 / 1
LCM(5036,5043) = 25396548

Properties of LCM 5036 and 5043

(i) The LCM of 5043 and 5036 is associative

LCM of 5036 and 5043 = LCM of 5043 and 5036

Related Least Common Multiples of 5036

Related Least Common Multiples of 5043

Frequently Asked Questions on LCM of 5036 and 5043

1. What is the LCM of 5036 and 5043?

Answer: LCM of 5036 and 5043 is 25396548.

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 5043?

Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.

4. How to Find the LCM of 5036 and 5043?

Answer:

Least Common Multiple of 5036 and 5043 = 25396548

Step 1: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

Step 2: Find the prime factorization of 5043

5043 = 3 x 41 x 41

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

LCM = 25396548 = 2 x 2 x 3 x 41 x 41 x 1259

Step 4: Therefore, the least common multiple of 5036 and 5043 is 25396548.