Least Common Multiple of 2021 and 2025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2021 and 2025 the smallest integer that is 4092525 that is divisible by both numbers.

Least Common Multiple (LCM) of 2021 and 2025 is 4092525.

LCM(2021,2025) = 4092525

LCM of 2021 and 2025

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

LCM of:
and

Least Common Multiple of 2021 and 2025

LCM of 2021 and 2025 is 4092525

Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2025. First we will calculate the prime factors of 2021 and 2025.

Prime Factorization of 2021


43 2021
47 47
1

Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:

2021 = 431×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2021 and 2025.

LCM(2021,2025) = 34×52×431×471
LCM(2021,2025) = 4092525

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1, 43, 47, 2021

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

Least Common Multiple of 2021 and 2025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2021 and 2025, than apply into the LCM equation.

GCF(2021,2025) = 1
LCM(2021,2025) = ( 2021 × 2025) / 1
LCM(2021,2025) = 4092525 / 1
LCM(2021,2025) = 4092525

Properties of LCM 2021 and 2025

(i) The LCM of 2025 and 2021 is associative

LCM of 2021 and 2025 = LCM of 2025 and 2021

Related Least Common Multiples of 2021

Related Least Common Multiples of 2025

Frequently Asked Questions on LCM of 2021 and 2025

1. What is the LCM of 2021 and 2025?

Answer: LCM of 2021 and 2025 is 4092525.

2. What are the Factors of 2021?

Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.

3. 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.

4. How to Find the LCM of 2021 and 2025?

Answer:

Least Common Multiple of 2021 and 2025 = 4092525

Step 1: Find the prime factorization of 2021

2021 = 43 x 47

Step 2: Find the prime factorization of 2025

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

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

LCM = 4092525 = 3 x 3 x 3 x 3 x 5 x 5 x 43 x 47

Step 4: Therefore, the least common multiple of 2021 and 2025 is 4092525.