Least Common Multiple of 2031 and 2038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2031 and 2038 the smallest integer that is 4139178 that is divisible by both numbers.

Least Common Multiple (LCM) of 2031 and 2038 is 4139178.

LCM(2031,2038) = 4139178

LCM of 2031 and 2038

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

LCM of:
and

Least Common Multiple of 2031 and 2038

LCM of 2031 and 2038 is 4139178

Least common multiple can be found by multiplying the highest exponent prime factors of 2031 and 2038. First we will calculate the prime factors of 2031 and 2038.

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

Prime Factorization of 2038


2 2038
1019 1019
1

Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:

2038 = 21×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 2031 and 2038.

LCM(2031,2038) = 21×31×6771×10191
LCM(2031,2038) = 4139178

Factors of 2031

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

1, 3, 677, 2031

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1, 2, 1019, 2038

Least Common Multiple of 2031 and 2038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2031 and 2038, than apply into the LCM equation.

GCF(2031,2038) = 1
LCM(2031,2038) = ( 2031 × 2038) / 1
LCM(2031,2038) = 4139178 / 1
LCM(2031,2038) = 4139178

Properties of LCM 2031 and 2038

(i) The LCM of 2038 and 2031 is associative

LCM of 2031 and 2038 = LCM of 2038 and 2031

Related Least Common Multiples of 2031

Related Least Common Multiples of 2038

Frequently Asked Questions on LCM of 2031 and 2038

1. What is the LCM of 2031 and 2038?

Answer: LCM of 2031 and 2038 is 4139178.

2. 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.

3. What are the Factors of 2038?

Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.

4. How to Find the LCM of 2031 and 2038?

Answer:

Least Common Multiple of 2031 and 2038 = 4139178

Step 1: Find the prime factorization of 2031

2031 = 3 x 677

Step 2: Find the prime factorization of 2038

2038 = 2 x 1019

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

LCM = 4139178 = 2 x 3 x 677 x 1019

Step 4: Therefore, the least common multiple of 2031 and 2038 is 4139178.