Least Common Multiple of 5031 and 5038

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 5038 the smallest integer that is 25346178 that is divisible by both numbers.

Least Common Multiple (LCM) of 5031 and 5038 is 25346178.

LCM(5031,5038) = 25346178

LCM of 5031 and 5038

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

LCM of:
and

Least Common Multiple of 5031 and 5038

LCM of 5031 and 5038 is 25346178

Least common multiple can be found by multiplying the highest exponent prime factors of 5031 and 5038. First we will calculate the prime factors of 5031 and 5038.

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 5038


2 5038
11 2519
229 229
1

Prime factors of 5038 are 2, 11,229. Prime factorization of 5038 in exponential form is:

5038 = 21×111×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5031 and 5038.

LCM(5031,5038) = 21×32×111×131×431×2291
LCM(5031,5038) = 25346178

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 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1, 2, 11, 22, 229, 458, 2519, 5038

Least Common Multiple of 5031 and 5038 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 5038, than apply into the LCM equation.

GCF(5031,5038) = 1
LCM(5031,5038) = ( 5031 × 5038) / 1
LCM(5031,5038) = 25346178 / 1
LCM(5031,5038) = 25346178

Properties of LCM 5031 and 5038

(i) The LCM of 5038 and 5031 is associative

LCM of 5031 and 5038 = LCM of 5038 and 5031

Related Least Common Multiples of 5031

Related Least Common Multiples of 5038

Frequently Asked Questions on LCM of 5031 and 5038

1. What is the LCM of 5031 and 5038?

Answer: LCM of 5031 and 5038 is 25346178.

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 5038?

Answer: Factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038. There are 8 integers that are factors of 5038. The greatest factor of 5038 is 5038.

4. How to Find the LCM of 5031 and 5038?

Answer:

Least Common Multiple of 5031 and 5038 = 25346178

Step 1: Find the prime factorization of 5031

5031 = 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 5038

5038 = 2 x 11 x 229

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

LCM = 25346178 = 2 x 3 x 3 x 11 x 13 x 43 x 229

Step 4: Therefore, the least common multiple of 5031 and 5038 is 25346178.