Least Common Multiple of 3311 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 3311 and 3317 the smallest integer that is 10982587 that is divisible by both numbers.
Least Common Multiple (LCM) of 3311 and 3317 is 10982587.
LCM(3311,3317) = 10982587
LCM of 3311 and 3317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3311 and 3317 by Prime method
- Least Common Multiple of 3311 and 3317 with GCF Formula
LCM of 3311 and 3317 is 10982587
Least common multiple can be found by multiplying the highest exponent prime factors of 3311 and 3317. First we will calculate the prime factors of 3311 and 3317.
Prime Factorization of 3311
| 7 | 3311 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 3311 are 7, 11,43. Prime factorization of 3311 in exponential form is:
3311 = 71×111×431
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 3311 and 3317.
LCM(3311,3317) = 71×111×311×431×1071
LCM(3311,3317) = 10982587
Factors of 3311
List of positive integer factors of 3311 that divides 3311 without a remainder.
1, 7, 11, 43, 77, 301, 473, 3311
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1, 31, 107, 3317
Least Common Multiple of 3311 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 3311 and 3317, than apply into the LCM equation.
GCF(3311,3317) = 1
LCM(3311,3317) = ( 3311 × 3317) / 1
LCM(3311,3317) = 10982587 / 1
LCM(3311,3317) = 10982587
Properties of LCM 3311 and 3317
(i) The LCM of 3317 and 3311 is associative
LCM of 3311 and 3317 = LCM of 3317 and 3311
Related Least Common Multiples of 3311
Related Least Common Multiples of 3317
Frequently Asked Questions on LCM of 3311 and 3317
1. What is the LCM of 3311 and 3317?
Answer: LCM of 3311 and 3317 is 10982587.
2. What are the Factors of 3311?
Answer: Factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311. There are 8 integers that are factors of 3311. The greatest factor of 3311 is 3311.
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 3311 and 3317?
Answer:
Least Common Multiple of 3311 and 3317 = 10982587
Step 1: Find the prime factorization of 3311
3311 = 7 x 11 x 43
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 = 10982587 = 7 x 11 x 31 x 43 x 107
Step 4: Therefore, the least common multiple of 3311 and 3317 is 10982587.