Least Common Multiple of 2025 and 2033
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 2033 the smallest integer that is 4116825 that is divisible by both numbers.
Least Common Multiple (LCM) of 2025 and 2033 is 4116825.
LCM(2025,2033) = 4116825
LCM of 2025 and 2033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2025 and 2033 by Prime method
- Least Common Multiple of 2025 and 2033 with GCF Formula
LCM of 2025 and 2033 is 4116825
Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2033. First we will calculate the prime factors of 2025 and 2033.
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 2033
| 19 | 2033 |
| 107 | 107 |
| 1 |
Prime factors of 2033 are 19,107. Prime factorization of 2033 in exponential form is:
2033 = 191×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2033.
LCM(2025,2033) = 34×52×191×1071
LCM(2025,2033) = 4116825
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 2033
List of positive integer factors of 2033 that divides 2033 without a remainder.
1, 19, 107, 2033
Least Common Multiple of 2025 and 2033 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 2033, than apply into the LCM equation.
GCF(2025,2033) = 1
LCM(2025,2033) = ( 2025 × 2033) / 1
LCM(2025,2033) = 4116825 / 1
LCM(2025,2033) = 4116825
Properties of LCM 2025 and 2033
(i) The LCM of 2033 and 2025 is associative
LCM of 2025 and 2033 = LCM of 2033 and 2025
Related Least Common Multiples of 2025
Related Least Common Multiples of 2033
Frequently Asked Questions on LCM of 2025 and 2033
1. What is the LCM of 2025 and 2033?
Answer: LCM of 2025 and 2033 is 4116825.
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 2033?
Answer: Factors of 2033 are 1, 19, 107, 2033. There are 4 integers that are factors of 2033. The greatest factor of 2033 is 2033.
4. How to Find the LCM of 2025 and 2033?
Answer:
Least Common Multiple of 2025 and 2033 = 4116825
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 2033
2033 = 19 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4116825 = 3 x 3 x 3 x 3 x 5 x 5 x 19 x 107
Step 4: Therefore, the least common multiple of 2025 and 2033 is 4116825.