Least Common Multiple of 5028 and 5031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5028 and 5031 the smallest integer that is 8431956 that is divisible by both numbers.

Least Common Multiple (LCM) of 5028 and 5031 is 8431956.

LCM(5028,5031) = 8431956

LCM of 5028 and 5031

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

LCM of:
and

Least Common Multiple of 5028 and 5031

LCM of 5028 and 5031 is 8431956

Least common multiple can be found by multiplying the highest exponent prime factors of 5028 and 5031. First we will calculate the prime factors of 5028 and 5031.

Prime Factorization of 5028


2 5028
2 2514
3 1257
419 419
1

Prime factors of 5028 are 2, 3,419. Prime factorization of 5028 in exponential form is:

5028 = 22×31×4191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5028 and 5031.

LCM(5028,5031) = 22×32×131×431×4191
LCM(5028,5031) = 8431956

Factors of 5028

List of positive integer factors of 5028 that divides 5028 without a remainder.

1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028

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

Least Common Multiple of 5028 and 5031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5028 and 5031, than apply into the LCM equation.

GCF(5028,5031) = 3
LCM(5028,5031) = ( 5028 × 5031) / 3
LCM(5028,5031) = 25295868 / 3
LCM(5028,5031) = 8431956

Properties of LCM 5028 and 5031

(i) The LCM of 5031 and 5028 is associative

LCM of 5028 and 5031 = LCM of 5031 and 5028

Related Least Common Multiples of 5028

Related Least Common Multiples of 5031

Frequently Asked Questions on LCM of 5028 and 5031

1. What is the LCM of 5028 and 5031?

Answer: LCM of 5028 and 5031 is 8431956.

2. What are the Factors of 5028?

Answer: Factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028. There are 12 integers that are factors of 5028. The greatest factor of 5028 is 5028.

3. 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.

4. How to Find the LCM of 5028 and 5031?

Answer:

Least Common Multiple of 5028 and 5031 = 8431956

Step 1: Find the prime factorization of 5028

5028 = 2 x 2 x 3 x 419

Step 2: Find the prime factorization of 5031

5031 = 3 x 3 x 13 x 43

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

LCM = 8431956 = 2 x 2 x 3 x 3 x 13 x 43 x 419

Step 4: Therefore, the least common multiple of 5028 and 5031 is 8431956.