Least Common Multiple of 5031 and 5037

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 5037 the smallest integer that is 8447049 that is divisible by both numbers.

Least Common Multiple (LCM) of 5031 and 5037 is 8447049.

LCM(5031,5037) = 8447049

LCM of 5031 and 5037

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

LCM of:
and

Least Common Multiple of 5031 and 5037

LCM of 5031 and 5037 is 8447049

Least common multiple can be found by multiplying the highest exponent prime factors of 5031 and 5037. First we will calculate the prime factors of 5031 and 5037.

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 5037


3 5037
23 1679
73 73
1

Prime factors of 5037 are 3, 23,73. Prime factorization of 5037 in exponential form is:

5037 = 31×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5031 and 5037.

LCM(5031,5037) = 32×131×231×431×731
LCM(5031,5037) = 8447049

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 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1, 3, 23, 69, 73, 219, 1679, 5037

Least Common Multiple of 5031 and 5037 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 5037, than apply into the LCM equation.

GCF(5031,5037) = 3
LCM(5031,5037) = ( 5031 × 5037) / 3
LCM(5031,5037) = 25341147 / 3
LCM(5031,5037) = 8447049

Properties of LCM 5031 and 5037

(i) The LCM of 5037 and 5031 is associative

LCM of 5031 and 5037 = LCM of 5037 and 5031

Related Least Common Multiples of 5031

Related Least Common Multiples of 5037

Frequently Asked Questions on LCM of 5031 and 5037

1. What is the LCM of 5031 and 5037?

Answer: LCM of 5031 and 5037 is 8447049.

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 5037?

Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.

4. How to Find the LCM of 5031 and 5037?

Answer:

Least Common Multiple of 5031 and 5037 = 8447049

Step 1: Find the prime factorization of 5031

5031 = 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 5037

5037 = 3 x 23 x 73

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

LCM = 8447049 = 3 x 3 x 13 x 23 x 43 x 73

Step 4: Therefore, the least common multiple of 5031 and 5037 is 8447049.