Least Common Multiple of 2025 and 2027

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 2027 the smallest integer that is 4104675 that is divisible by both numbers.

Least Common Multiple (LCM) of 2025 and 2027 is 4104675.

LCM(2025,2027) = 4104675

LCM of 2025 and 2027

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

LCM of:
and

Least Common Multiple of 2025 and 2027

LCM of 2025 and 2027 is 4104675

Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2027. First we will calculate the prime factors of 2025 and 2027.

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 2027


2027 2027
1

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

2027 = 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2027.

LCM(2025,2027) = 34×52×20271
LCM(2025,2027) = 4104675

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 2027

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

1, 2027

Least Common Multiple of 2025 and 2027 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 2027, than apply into the LCM equation.

GCF(2025,2027) = 1
LCM(2025,2027) = ( 2025 × 2027) / 1
LCM(2025,2027) = 4104675 / 1
LCM(2025,2027) = 4104675

Properties of LCM 2025 and 2027

(i) The LCM of 2027 and 2025 is associative

LCM of 2025 and 2027 = LCM of 2027 and 2025

Related Least Common Multiples of 2025

Related Least Common Multiples of 2027

Frequently Asked Questions on LCM of 2025 and 2027

1. What is the LCM of 2025 and 2027?

Answer: LCM of 2025 and 2027 is 4104675.

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 2027?

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

4. How to Find the LCM of 2025 and 2027?

Answer:

Least Common Multiple of 2025 and 2027 = 4104675

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 2027

2027 = 2027

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

LCM = 4104675 = 3 x 3 x 3 x 3 x 5 x 5 x 2027

Step 4: Therefore, the least common multiple of 2025 and 2027 is 4104675.