Least Common Multiple of 5031 and 5036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5031 and 5036 the smallest integer that is 25336116 that is divisible by both numbers.

Least Common Multiple (LCM) of 5031 and 5036 is 25336116.

LCM(5031,5036) = 25336116

LCM of 5031 and 5036

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

LCM of:
and

Least Common Multiple of 5031 and 5036

LCM of 5031 and 5036 is 25336116

Least common multiple can be found by multiplying the highest exponent prime factors of 5031 and 5036. First we will calculate the prime factors of 5031 and 5036.

Prime Factorization of 5031


3 5031
3 1677
13 559
43 43
1

Prime factors of 5031 are 3, 13,43. Prime factorization of 5031 in exponential form is:

5031 = 32×131×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5031 and 5036.

LCM(5031,5036) = 22×32×131×431×12591
LCM(5031,5036) = 25336116

Factors of 5031

List of positive integer factors of 5031 that divides 5031 without a remainder.

1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031

Factors of 5036

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

1, 2, 4, 1259, 2518, 5036

Least Common Multiple of 5031 and 5036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5031 and 5036, than apply into the LCM equation.

GCF(5031,5036) = 1
LCM(5031,5036) = ( 5031 × 5036) / 1
LCM(5031,5036) = 25336116 / 1
LCM(5031,5036) = 25336116

Properties of LCM 5031 and 5036

(i) The LCM of 5036 and 5031 is associative

LCM of 5031 and 5036 = LCM of 5036 and 5031

Related Least Common Multiples of 5031

Related Least Common Multiples of 5036

Frequently Asked Questions on LCM of 5031 and 5036

1. What is the LCM of 5031 and 5036?

Answer: LCM of 5031 and 5036 is 25336116.

2. What are the Factors of 5031?

Answer: Factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031. There are 12 integers that are factors of 5031. The greatest factor of 5031 is 5031.

3. 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.

4. How to Find the LCM of 5031 and 5036?

Answer:

Least Common Multiple of 5031 and 5036 = 25336116

Step 1: Find the prime factorization of 5031

5031 = 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

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

LCM = 25336116 = 2 x 2 x 3 x 3 x 13 x 43 x 1259

Step 4: Therefore, the least common multiple of 5031 and 5036 is 25336116.