Least Common Multiple of 2025 and 2028
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 2028 the smallest integer that is 1368900 that is divisible by both numbers.
Least Common Multiple (LCM) of 2025 and 2028 is 1368900.
LCM(2025,2028) = 1368900
LCM of 2025 and 2028
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2025 and 2028 by Prime method
- Least Common Multiple of 2025 and 2028 with GCF Formula
LCM of 2025 and 2028 is 1368900
Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2028. First we will calculate the prime factors of 2025 and 2028.
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 2028
| 2 | 2028 |
| 2 | 1014 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:
2028 = 22×31×132
Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2028.
LCM(2025,2028) = 22×34×52×132
LCM(2025,2028) = 1368900
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 2028
List of positive integer factors of 2028 that divides 2028 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
Least Common Multiple of 2025 and 2028 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 2028, than apply into the LCM equation.
GCF(2025,2028) = 3
LCM(2025,2028) = ( 2025 × 2028) / 3
LCM(2025,2028) = 4106700 / 3
LCM(2025,2028) = 1368900
Properties of LCM 2025 and 2028
(i) The LCM of 2028 and 2025 is associative
LCM of 2025 and 2028 = LCM of 2028 and 2025
Related Least Common Multiples of 2025
Related Least Common Multiples of 2028
Frequently Asked Questions on LCM of 2025 and 2028
1. What is the LCM of 2025 and 2028?
Answer: LCM of 2025 and 2028 is 1368900.
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 2028?
Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.
4. How to Find the LCM of 2025 and 2028?
Answer:
Least Common Multiple of 2025 and 2028 = 1368900
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 2028
2028 = 2 x 2 x 3 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1368900 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 13
Step 4: Therefore, the least common multiple of 2025 and 2028 is 1368900.
