Least Common Multiple of 2025 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 2025 and 2031 the smallest integer that is 1370925 that is divisible by both numbers.

Least Common Multiple (LCM) of 2025 and 2031 is 1370925.

LCM(2025,2031) = 1370925

LCM of 2025 and 2031

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

LCM of:
and

Least Common Multiple of 2025 and 2031

LCM of 2025 and 2031 is 1370925

Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2031. First we will calculate the prime factors of 2025 and 2031.

Prime Factorization of 2025


3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2025 are 3,5. Prime factorization of 2025 in exponential form is:

2025 = 34×52

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 2025 and 2031.

LCM(2025,2031) = 34×52×6771
LCM(2025,2031) = 1370925

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

Factors of 2031

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

1, 3, 677, 2031

Least Common Multiple of 2025 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 2025 and 2031, than apply into the LCM equation.

GCF(2025,2031) = 3
LCM(2025,2031) = ( 2025 × 2031) / 3
LCM(2025,2031) = 4112775 / 3
LCM(2025,2031) = 1370925

Properties of LCM 2025 and 2031

(i) The LCM of 2031 and 2025 is associative

LCM of 2025 and 2031 = LCM of 2031 and 2025

Related Least Common Multiples of 2025

Related Least Common Multiples of 2031

Frequently Asked Questions on LCM of 2025 and 2031

1. What is the LCM of 2025 and 2031?

Answer: LCM of 2025 and 2031 is 1370925.

2. What are the Factors of 2025?

Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.

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 2025 and 2031?

Answer:

Least Common Multiple of 2025 and 2031 = 1370925

Step 1: Find the prime factorization of 2025

2025 = 3 x 3 x 3 x 3 x 5 x 5

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 = 1370925 = 3 x 3 x 3 x 3 x 5 x 5 x 677

Step 4: Therefore, the least common multiple of 2025 and 2031 is 1370925.