Least Common Multiple of 3317 and 3325
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3317 and 3325 the smallest integer that is 11029025 that is divisible by both numbers.
Least Common Multiple (LCM) of 3317 and 3325 is 11029025.
LCM(3317,3325) = 11029025
LCM of 3317 and 3325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3317 and 3325 by Prime method
- Least Common Multiple of 3317 and 3325 with GCF Formula
LCM of 3317 and 3325 is 11029025
Least common multiple can be found by multiplying the highest exponent prime factors of 3317 and 3325. First we will calculate the prime factors of 3317 and 3325.
Prime Factorization of 3317
| 31 | 3317 |
| 107 | 107 |
| 1 |
Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:
3317 = 311×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3317 and 3325.
LCM(3317,3325) = 52×71×191×311×1071
LCM(3317,3325) = 11029025
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1, 31, 107, 3317
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
Least Common Multiple of 3317 and 3325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3317 and 3325, than apply into the LCM equation.
GCF(3317,3325) = 1
LCM(3317,3325) = ( 3317 × 3325) / 1
LCM(3317,3325) = 11029025 / 1
LCM(3317,3325) = 11029025
Properties of LCM 3317 and 3325
(i) The LCM of 3325 and 3317 is associative
LCM of 3317 and 3325 = LCM of 3325 and 3317
Related Least Common Multiples of 3317
Related Least Common Multiples of 3325
Frequently Asked Questions on LCM of 3317 and 3325
1. What is the LCM of 3317 and 3325?
Answer: LCM of 3317 and 3325 is 11029025.
2. What are the Factors of 3317?
Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.
3. 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.
4. How to Find the LCM of 3317 and 3325?
Answer:
Least Common Multiple of 3317 and 3325 = 11029025
Step 1: Find the prime factorization of 3317
3317 = 31 x 107
Step 2: Find the prime factorization of 3325
3325 = 5 x 5 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11029025 = 5 x 5 x 7 x 19 x 31 x 107
Step 4: Therefore, the least common multiple of 3317 and 3325 is 11029025.