Least Common Multiple of 3315 and 3317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3315 and 3317 the smallest integer that is 10995855 that is divisible by both numbers.
Least Common Multiple (LCM) of 3315 and 3317 is 10995855.
LCM(3315,3317) = 10995855
LCM of 3315 and 3317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3315 and 3317 by Prime method
- Least Common Multiple of 3315 and 3317 with GCF Formula
LCM of 3315 and 3317 is 10995855
Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3317. First we will calculate the prime factors of 3315 and 3317.
Prime Factorization of 3315
| 3 | 3315 |
| 5 | 1105 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 3315 are 3, 5, 13,17. Prime factorization of 3315 in exponential form is:
3315 = 31×51×131×171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3317.
LCM(3315,3317) = 31×51×131×171×311×1071
LCM(3315,3317) = 10995855
Factors of 3315
List of positive integer factors of 3315 that divides 3315 without a remainder.
1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1, 31, 107, 3317
Least Common Multiple of 3315 and 3317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3315 and 3317, than apply into the LCM equation.
GCF(3315,3317) = 1
LCM(3315,3317) = ( 3315 × 3317) / 1
LCM(3315,3317) = 10995855 / 1
LCM(3315,3317) = 10995855
Properties of LCM 3315 and 3317
(i) The LCM of 3317 and 3315 is associative
LCM of 3315 and 3317 = LCM of 3317 and 3315
Related Least Common Multiples of 3315
Related Least Common Multiples of 3317
Frequently Asked Questions on LCM of 3315 and 3317
1. What is the LCM of 3315 and 3317?
Answer: LCM of 3315 and 3317 is 10995855.
2. What are the Factors of 3315?
Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.
3. 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.
4. How to Find the LCM of 3315 and 3317?
Answer:
Least Common Multiple of 3315 and 3317 = 10995855
Step 1: Find the prime factorization of 3315
3315 = 3 x 5 x 13 x 17
Step 2: Find the prime factorization of 3317
3317 = 31 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 = 10995855 = 3 x 5 x 13 x 17 x 31 x 107
Step 4: Therefore, the least common multiple of 3315 and 3317 is 10995855.