Least Common Multiple of 8025 and 8033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8025 and 8033 the smallest integer that is 64464825 that is divisible by both numbers.
Least Common Multiple (LCM) of 8025 and 8033 is 64464825.
LCM(8025,8033) = 64464825
LCM of 8025 and 8033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8025 and 8033 by Prime method
- Least Common Multiple of 8025 and 8033 with GCF Formula
LCM of 8025 and 8033 is 64464825
Least common multiple can be found by multiplying the highest exponent prime factors of 8025 and 8033. First we will calculate the prime factors of 8025 and 8033.
Prime Factorization of 8025
| 3 | 8025 |
| 5 | 2675 |
| 5 | 535 |
| 107 | 107 |
| 1 |
Prime factors of 8025 are 3, 5,107. Prime factorization of 8025 in exponential form is:
8025 = 31×52×1071
Prime Factorization of 8033
| 29 | 8033 |
| 277 | 277 |
| 1 |
Prime factors of 8033 are 29,277. Prime factorization of 8033 in exponential form is:
8033 = 291×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8025 and 8033.
LCM(8025,8033) = 31×52×291×1071×2771
LCM(8025,8033) = 64464825
Factors of 8025
List of positive integer factors of 8025 that divides 8025 without a remainder.
1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1, 29, 277, 8033
Least Common Multiple of 8025 and 8033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8025 and 8033, than apply into the LCM equation.
GCF(8025,8033) = 1
LCM(8025,8033) = ( 8025 × 8033) / 1
LCM(8025,8033) = 64464825 / 1
LCM(8025,8033) = 64464825
Properties of LCM 8025 and 8033
(i) The LCM of 8033 and 8025 is associative
LCM of 8025 and 8033 = LCM of 8033 and 8025
Related Least Common Multiples of 8025
Related Least Common Multiples of 8033
Frequently Asked Questions on LCM of 8025 and 8033
1. What is the LCM of 8025 and 8033?
Answer: LCM of 8025 and 8033 is 64464825.
2. What are the Factors of 8025?
Answer: Factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025. There are 12 integers that are factors of 8025. The greatest factor of 8025 is 8025.
3. What are the Factors of 8033?
Answer: Factors of 8033 are 1, 29, 277, 8033. There are 4 integers that are factors of 8033. The greatest factor of 8033 is 8033.
4. How to Find the LCM of 8025 and 8033?
Answer:
Least Common Multiple of 8025 and 8033 = 64464825
Step 1: Find the prime factorization of 8025
8025 = 3 x 5 x 5 x 107
Step 2: Find the prime factorization of 8033
8033 = 29 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64464825 = 3 x 5 x 5 x 29 x 107 x 277
Step 4: Therefore, the least common multiple of 8025 and 8033 is 64464825.