Least Common Multiple of 2027 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 2027 and 2031 the smallest integer that is 4116837 that is divisible by both numbers.

Least Common Multiple (LCM) of 2027 and 2031 is 4116837.

LCM(2027,2031) = 4116837

LCM of 2027 and 2031

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

LCM of:
and

Least Common Multiple of 2027 and 2031

LCM of 2027 and 2031 is 4116837

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2031. First we will calculate the prime factors of 2027 and 2031.

Prime Factorization of 2027


2027 2027
1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

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 2027 and 2031.

LCM(2027,2031) = 31×6771×20271
LCM(2027,2031) = 4116837

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1, 2027

Factors of 2031

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

1, 3, 677, 2031

Least Common Multiple of 2027 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 2027 and 2031, than apply into the LCM equation.

GCF(2027,2031) = 1
LCM(2027,2031) = ( 2027 × 2031) / 1
LCM(2027,2031) = 4116837 / 1
LCM(2027,2031) = 4116837

Properties of LCM 2027 and 2031

(i) The LCM of 2031 and 2027 is associative

LCM of 2027 and 2031 = LCM of 2031 and 2027

Related Least Common Multiples of 2027

Related Least Common Multiples of 2031

Frequently Asked Questions on LCM of 2027 and 2031

1. What is the LCM of 2027 and 2031?

Answer: LCM of 2027 and 2031 is 4116837.

2. What are the Factors of 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

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 2027 and 2031?

Answer:

Least Common Multiple of 2027 and 2031 = 4116837

Step 1: Find the prime factorization of 2027

2027 = 2027

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 = 4116837 = 3 x 677 x 2027

Step 4: Therefore, the least common multiple of 2027 and 2031 is 4116837.