Least Common Multiple of 2031 and 2036

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 2036 the smallest integer that is 4135116 that is divisible by both numbers.

Least Common Multiple (LCM) of 2031 and 2036 is 4135116.

LCM(2031,2036) = 4135116

LCM of 2031 and 2036

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

LCM of:
and

Least Common Multiple of 2031 and 2036

LCM of 2031 and 2036 is 4135116

Least common multiple can be found by multiplying the highest exponent prime factors of 2031 and 2036. First we will calculate the prime factors of 2031 and 2036.

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 2036


2 2036
2 1018
509 509
1

Prime factors of 2036 are 2,509. Prime factorization of 2036 in exponential form is:

2036 = 22×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 2031 and 2036.

LCM(2031,2036) = 22×31×5091×6771
LCM(2031,2036) = 4135116

Factors of 2031

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

1, 3, 677, 2031

Factors of 2036

List of positive integer factors of 2036 that divides 2036 without a remainder.

1, 2, 4, 509, 1018, 2036

Least Common Multiple of 2031 and 2036 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 2036, than apply into the LCM equation.

GCF(2031,2036) = 1
LCM(2031,2036) = ( 2031 × 2036) / 1
LCM(2031,2036) = 4135116 / 1
LCM(2031,2036) = 4135116

Properties of LCM 2031 and 2036

(i) The LCM of 2036 and 2031 is associative

LCM of 2031 and 2036 = LCM of 2036 and 2031

Related Least Common Multiples of 2031

Related Least Common Multiples of 2036

Frequently Asked Questions on LCM of 2031 and 2036

1. What is the LCM of 2031 and 2036?

Answer: LCM of 2031 and 2036 is 4135116.

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 2036?

Answer: Factors of 2036 are 1, 2, 4, 509, 1018, 2036. There are 6 integers that are factors of 2036. The greatest factor of 2036 is 2036.

4. How to Find the LCM of 2031 and 2036?

Answer:

Least Common Multiple of 2031 and 2036 = 4135116

Step 1: Find the prime factorization of 2031

2031 = 3 x 677

Step 2: Find the prime factorization of 2036

2036 = 2 x 2 x 509

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

LCM = 4135116 = 2 x 2 x 3 x 509 x 677

Step 4: Therefore, the least common multiple of 2031 and 2036 is 4135116.