Least Common Multiple of 2031 and 2037

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 2037 the smallest integer that is 1379049 that is divisible by both numbers.

Least Common Multiple (LCM) of 2031 and 2037 is 1379049.

LCM(2031,2037) = 1379049

LCM of 2031 and 2037

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

LCM of:
and

Least Common Multiple of 2031 and 2037

LCM of 2031 and 2037 is 1379049

Least common multiple can be found by multiplying the highest exponent prime factors of 2031 and 2037. First we will calculate the prime factors of 2031 and 2037.

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 2037


3 2037
7 679
97 97
1

Prime factors of 2037 are 3, 7,97. Prime factorization of 2037 in exponential form is:

2037 = 31×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2031 and 2037.

LCM(2031,2037) = 31×71×971×6771
LCM(2031,2037) = 1379049

Factors of 2031

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

1, 3, 677, 2031

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1, 3, 7, 21, 97, 291, 679, 2037

Least Common Multiple of 2031 and 2037 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 2037, than apply into the LCM equation.

GCF(2031,2037) = 3
LCM(2031,2037) = ( 2031 × 2037) / 3
LCM(2031,2037) = 4137147 / 3
LCM(2031,2037) = 1379049

Properties of LCM 2031 and 2037

(i) The LCM of 2037 and 2031 is associative

LCM of 2031 and 2037 = LCM of 2037 and 2031

Related Least Common Multiples of 2031

Related Least Common Multiples of 2037

Frequently Asked Questions on LCM of 2031 and 2037

1. What is the LCM of 2031 and 2037?

Answer: LCM of 2031 and 2037 is 1379049.

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 2037?

Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.

4. How to Find the LCM of 2031 and 2037?

Answer:

Least Common Multiple of 2031 and 2037 = 1379049

Step 1: Find the prime factorization of 2031

2031 = 3 x 677

Step 2: Find the prime factorization of 2037

2037 = 3 x 7 x 97

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

LCM = 1379049 = 3 x 7 x 97 x 677

Step 4: Therefore, the least common multiple of 2031 and 2037 is 1379049.