Least Common Multiple of 3825 and 3829
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3825 and 3829 the smallest integer that is 14645925 that is divisible by both numbers.
Least Common Multiple (LCM) of 3825 and 3829 is 14645925.
LCM(3825,3829) = 14645925
LCM of 3825 and 3829
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3825 and 3829 by Prime method
- Least Common Multiple of 3825 and 3829 with GCF Formula
LCM of 3825 and 3829 is 14645925
Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3829. First we will calculate the prime factors of 3825 and 3829.
Prime Factorization of 3825
| 3 | 3825 |
| 3 | 1275 |
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 3825 are 3, 5,17. Prime factorization of 3825 in exponential form is:
3825 = 32×52×171
Prime Factorization of 3829
| 7 | 3829 |
| 547 | 547 |
| 1 |
Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:
3829 = 71×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3829.
LCM(3825,3829) = 32×52×71×171×5471
LCM(3825,3829) = 14645925
Factors of 3825
List of positive integer factors of 3825 that divides 3825 without a remainder.
1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825
Factors of 3829
List of positive integer factors of 3829 that divides 3829 without a remainder.
1, 7, 547, 3829
Least Common Multiple of 3825 and 3829 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3825 and 3829, than apply into the LCM equation.
GCF(3825,3829) = 1
LCM(3825,3829) = ( 3825 × 3829) / 1
LCM(3825,3829) = 14645925 / 1
LCM(3825,3829) = 14645925
Properties of LCM 3825 and 3829
(i) The LCM of 3829 and 3825 is associative
LCM of 3825 and 3829 = LCM of 3829 and 3825
Related Least Common Multiples of 3825
Related Least Common Multiples of 3829
Frequently Asked Questions on LCM of 3825 and 3829
1. What is the LCM of 3825 and 3829?
Answer: LCM of 3825 and 3829 is 14645925.
2. What are the Factors of 3825?
Answer: Factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825. There are 18 integers that are factors of 3825. The greatest factor of 3825 is 3825.
3. What are the Factors of 3829?
Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.
4. How to Find the LCM of 3825 and 3829?
Answer:
Least Common Multiple of 3825 and 3829 = 14645925
Step 1: Find the prime factorization of 3825
3825 = 3 x 3 x 5 x 5 x 17
Step 2: Find the prime factorization of 3829
3829 = 7 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14645925 = 3 x 3 x 5 x 5 x 7 x 17 x 547
Step 4: Therefore, the least common multiple of 3825 and 3829 is 14645925.