Least Common Multiple of 2025 and 2026
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 2026 the smallest integer that is 4102650 that is divisible by both numbers.
Least Common Multiple (LCM) of 2025 and 2026 is 4102650.
LCM(2025,2026) = 4102650
LCM of 2025 and 2026
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2025 and 2026 by Prime method
- Least Common Multiple of 2025 and 2026 with GCF Formula
LCM of 2025 and 2026 is 4102650
Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2026. First we will calculate the prime factors of 2025 and 2026.
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 2026
| 2 | 2026 |
| 1013 | 1013 |
| 1 |
Prime factors of 2026 are 2,1013. Prime factorization of 2026 in exponential form is:
2026 = 21×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2026.
LCM(2025,2026) = 21×34×52×10131
LCM(2025,2026) = 4102650
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 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1, 2, 1013, 2026
Least Common Multiple of 2025 and 2026 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 2026, than apply into the LCM equation.
GCF(2025,2026) = 1
LCM(2025,2026) = ( 2025 × 2026) / 1
LCM(2025,2026) = 4102650 / 1
LCM(2025,2026) = 4102650
Properties of LCM 2025 and 2026
(i) The LCM of 2026 and 2025 is associative
LCM of 2025 and 2026 = LCM of 2026 and 2025
Related Least Common Multiples of 2025
Related Least Common Multiples of 2026
Frequently Asked Questions on LCM of 2025 and 2026
1. What is the LCM of 2025 and 2026?
Answer: LCM of 2025 and 2026 is 4102650.
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 2026?
Answer: Factors of 2026 are 1, 2, 1013, 2026. There are 4 integers that are factors of 2026. The greatest factor of 2026 is 2026.
4. How to Find the LCM of 2025 and 2026?
Answer:
Least Common Multiple of 2025 and 2026 = 4102650
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 2026
2026 = 2 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4102650 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 1013
Step 4: Therefore, the least common multiple of 2025 and 2026 is 4102650.