Least Common Multiple of 3311 and 3315
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 3315 the smallest integer that is 10975965 that is divisible by both numbers.
Least Common Multiple (LCM) of 3311 and 3315 is 10975965.
LCM(3311,3315) = 10975965
LCM of 3311 and 3315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3311 and 3315 by Prime method
- Least Common Multiple of 3311 and 3315 with GCF Formula
LCM of 3311 and 3315 is 10975965
Least common multiple can be found by multiplying the highest exponent prime factors of 3311 and 3315. First we will calculate the prime factors of 3311 and 3315.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 3311 and 3315.
LCM(3311,3315) = 31×51×71×111×131×171×431
LCM(3311,3315) = 10975965
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 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
Least Common Multiple of 3311 and 3315 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 3315, than apply into the LCM equation.
GCF(3311,3315) = 1
LCM(3311,3315) = ( 3311 × 3315) / 1
LCM(3311,3315) = 10975965 / 1
LCM(3311,3315) = 10975965
Properties of LCM 3311 and 3315
(i) The LCM of 3315 and 3311 is associative
LCM of 3311 and 3315 = LCM of 3315 and 3311
Related Least Common Multiples of 3311
Related Least Common Multiples of 3315
Frequently Asked Questions on LCM of 3311 and 3315
1. What is the LCM of 3311 and 3315?
Answer: LCM of 3311 and 3315 is 10975965.
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 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.
4. How to Find the LCM of 3311 and 3315?
Answer:
Least Common Multiple of 3311 and 3315 = 10975965
Step 1: Find the prime factorization of 3311
3311 = 7 x 11 x 43
Step 2: Find the prime factorization of 3315
3315 = 3 x 5 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10975965 = 3 x 5 x 7 x 11 x 13 x 17 x 43
Step 4: Therefore, the least common multiple of 3311 and 3315 is 10975965.