Least Common Multiple of 2020 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 2020 and 2025 the smallest integer that is 818100 that is divisible by both numbers.
Least Common Multiple (LCM) of 2020 and 2025 is 818100.
LCM(2020,2025) = 818100
LCM of 2020 and 2025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2020 and 2025 by Prime method
- Least Common Multiple of 2020 and 2025 with GCF Formula
LCM of 2020 and 2025 is 818100
Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2025. First we will calculate the prime factors of 2020 and 2025.
Prime Factorization of 2020
| 2 | 2020 |
| 2 | 1010 |
| 5 | 505 |
| 101 | 101 |
| 1 |
Prime factors of 2020 are 2, 5,101. Prime factorization of 2020 in exponential form is:
2020 = 22×51×1011
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 2020 and 2025.
LCM(2020,2025) = 22×34×52×1011
LCM(2020,2025) = 818100
Factors of 2020
List of positive integer factors of 2020 that divides 2020 without a remainder.
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
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 2020 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 2020 and 2025, than apply into the LCM equation.
GCF(2020,2025) = 5
LCM(2020,2025) = ( 2020 × 2025) / 5
LCM(2020,2025) = 4090500 / 5
LCM(2020,2025) = 818100
Properties of LCM 2020 and 2025
(i) The LCM of 2025 and 2020 is associative
LCM of 2020 and 2025 = LCM of 2025 and 2020
Related Least Common Multiples of 2020
Related Least Common Multiples of 2025
Frequently Asked Questions on LCM of 2020 and 2025
1. What is the LCM of 2020 and 2025?
Answer: LCM of 2020 and 2025 is 818100.
2. What are the Factors of 2020?
Answer: Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. There are 12 integers that are factors of 2020. The greatest factor of 2020 is 2020.
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 2020 and 2025?
Answer:
Least Common Multiple of 2020 and 2025 = 818100
Step 1: Find the prime factorization of 2020
2020 = 2 x 2 x 5 x 101
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 = 818100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 101
Step 4: Therefore, the least common multiple of 2020 and 2025 is 818100.