Least Common Multiple of 2028 and 2031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2028 and 2031 the smallest integer that is 1372956 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2031 is 1372956.

LCM(2028,2031) = 1372956

LCM of 2028 and 2031

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

LCM of:
and

Least Common Multiple of 2028 and 2031

LCM of 2028 and 2031 is 1372956

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2031. First we will calculate the prime factors of 2028 and 2031.

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

Prime Factorization of 2031


3 2031
677 677
1

Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:

2031 = 31×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2031.

LCM(2028,2031) = 22×31×132×6771
LCM(2028,2031) = 1372956

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1, 3, 677, 2031

Least Common Multiple of 2028 and 2031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2028 and 2031, than apply into the LCM equation.

GCF(2028,2031) = 3
LCM(2028,2031) = ( 2028 × 2031) / 3
LCM(2028,2031) = 4118868 / 3
LCM(2028,2031) = 1372956

Properties of LCM 2028 and 2031

(i) The LCM of 2031 and 2028 is associative

LCM of 2028 and 2031 = LCM of 2031 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2031

Frequently Asked Questions on LCM of 2028 and 2031

1. What is the LCM of 2028 and 2031?

Answer: LCM of 2028 and 2031 is 1372956.

2. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

3. What are the Factors of 2031?

Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.

4. How to Find the LCM of 2028 and 2031?

Answer:

Least Common Multiple of 2028 and 2031 = 1372956

Step 1: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 2031

2031 = 3 x 677

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

LCM = 1372956 = 2 x 2 x 3 x 13 x 13 x 677

Step 4: Therefore, the least common multiple of 2028 and 2031 is 1372956.