Least Common Multiple of 3317 and 3321
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 3321 the smallest integer that is 11015757 that is divisible by both numbers.
Least Common Multiple (LCM) of 3317 and 3321 is 11015757.
LCM(3317,3321) = 11015757
LCM of 3317 and 3321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3317 and 3321 by Prime method
- Least Common Multiple of 3317 and 3321 with GCF Formula
LCM of 3317 and 3321 is 11015757
Least common multiple can be found by multiplying the highest exponent prime factors of 3317 and 3321. First we will calculate the prime factors of 3317 and 3321.
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 3321
| 3 | 3321 |
| 3 | 1107 |
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 3321 are 3,41. Prime factorization of 3321 in exponential form is:
3321 = 34×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3317 and 3321.
LCM(3317,3321) = 34×311×411×1071
LCM(3317,3321) = 11015757
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1, 31, 107, 3317
Factors of 3321
List of positive integer factors of 3321 that divides 3321 without a remainder.
1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321
Least Common Multiple of 3317 and 3321 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 3321, than apply into the LCM equation.
GCF(3317,3321) = 1
LCM(3317,3321) = ( 3317 × 3321) / 1
LCM(3317,3321) = 11015757 / 1
LCM(3317,3321) = 11015757
Properties of LCM 3317 and 3321
(i) The LCM of 3321 and 3317 is associative
LCM of 3317 and 3321 = LCM of 3321 and 3317
Related Least Common Multiples of 3317
Related Least Common Multiples of 3321
Frequently Asked Questions on LCM of 3317 and 3321
1. What is the LCM of 3317 and 3321?
Answer: LCM of 3317 and 3321 is 11015757.
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 3321?
Answer: Factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321. There are 10 integers that are factors of 3321. The greatest factor of 3321 is 3321.
4. How to Find the LCM of 3317 and 3321?
Answer:
Least Common Multiple of 3317 and 3321 = 11015757
Step 1: Find the prime factorization of 3317
3317 = 31 x 107
Step 2: Find the prime factorization of 3321
3321 = 3 x 3 x 3 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11015757 = 3 x 3 x 3 x 3 x 31 x 41 x 107
Step 4: Therefore, the least common multiple of 3317 and 3321 is 11015757.