Least Common Multiple of 3325 and 3329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3325 and 3329 the smallest integer that is 11068925 that is divisible by both numbers.
Least Common Multiple (LCM) of 3325 and 3329 is 11068925.
LCM(3325,3329) = 11068925
LCM of 3325 and 3329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3325 and 3329 by Prime method
- Least Common Multiple of 3325 and 3329 with GCF Formula
LCM of 3325 and 3329 is 11068925
Least common multiple can be found by multiplying the highest exponent prime factors of 3325 and 3329. First we will calculate the prime factors of 3325 and 3329.
Prime Factorization of 3325
| 5 | 3325 |
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 3325 are 5, 7,19. Prime factorization of 3325 in exponential form is:
3325 = 52×71×191
Prime Factorization of 3329
| 3329 | 3329 |
| 1 |
Prime factors of 3329 are 3329. Prime factorization of 3329 in exponential form is:
3329 = 33291
Now multiplying the highest exponent prime factors to calculate the LCM of 3325 and 3329.
LCM(3325,3329) = 52×71×191×33291
LCM(3325,3329) = 11068925
Factors of 3325
List of positive integer factors of 3325 that divides 3325 without a remainder.
1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
Factors of 3329
List of positive integer factors of 3329 that divides 3329 without a remainder.
1, 3329
Least Common Multiple of 3325 and 3329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3325 and 3329, than apply into the LCM equation.
GCF(3325,3329) = 1
LCM(3325,3329) = ( 3325 × 3329) / 1
LCM(3325,3329) = 11068925 / 1
LCM(3325,3329) = 11068925
Properties of LCM 3325 and 3329
(i) The LCM of 3329 and 3325 is associative
LCM of 3325 and 3329 = LCM of 3329 and 3325
Related Least Common Multiples of 3325
Related Least Common Multiples of 3329
Frequently Asked Questions on LCM of 3325 and 3329
1. What is the LCM of 3325 and 3329?
Answer: LCM of 3325 and 3329 is 11068925.
2. What are the Factors of 3325?
Answer: Factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325. There are 12 integers that are factors of 3325. The greatest factor of 3325 is 3325.
3. What are the Factors of 3329?
Answer: Factors of 3329 are 1, 3329. There are 2 integers that are factors of 3329. The greatest factor of 3329 is 3329.
4. How to Find the LCM of 3325 and 3329?
Answer:
Least Common Multiple of 3325 and 3329 = 11068925
Step 1: Find the prime factorization of 3325
3325 = 5 x 5 x 7 x 19
Step 2: Find the prime factorization of 3329
3329 = 3329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11068925 = 5 x 5 x 7 x 19 x 3329
Step 4: Therefore, the least common multiple of 3325 and 3329 is 11068925.