Least Common Multiple of 2025 and 2030
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 2030 the smallest integer that is 822150 that is divisible by both numbers.
Least Common Multiple (LCM) of 2025 and 2030 is 822150.
LCM(2025,2030) = 822150
LCM of 2025 and 2030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2025 and 2030 by Prime method
- Least Common Multiple of 2025 and 2030 with GCF Formula
LCM of 2025 and 2030 is 822150
Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2030. First we will calculate the prime factors of 2025 and 2030.
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 2030
| 2 | 2030 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 2030 are 2, 5, 7,29. Prime factorization of 2030 in exponential form is:
2030 = 21×51×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2030.
LCM(2025,2030) = 21×34×52×71×291
LCM(2025,2030) = 822150
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 2030
List of positive integer factors of 2030 that divides 2030 without a remainder.
1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030
Least Common Multiple of 2025 and 2030 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 2030, than apply into the LCM equation.
GCF(2025,2030) = 5
LCM(2025,2030) = ( 2025 × 2030) / 5
LCM(2025,2030) = 4110750 / 5
LCM(2025,2030) = 822150
Properties of LCM 2025 and 2030
(i) The LCM of 2030 and 2025 is associative
LCM of 2025 and 2030 = LCM of 2030 and 2025
Related Least Common Multiples of 2025
Related Least Common Multiples of 2030
Frequently Asked Questions on LCM of 2025 and 2030
1. What is the LCM of 2025 and 2030?
Answer: LCM of 2025 and 2030 is 822150.
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 2030?
Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.
4. How to Find the LCM of 2025 and 2030?
Answer:
Least Common Multiple of 2025 and 2030 = 822150
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 2030
2030 = 2 x 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 822150 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 29
Step 4: Therefore, the least common multiple of 2025 and 2030 is 822150.
