Least Common Multiple of 3311 and 3318
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 3318 the smallest integer that is 1569414 that is divisible by both numbers.
Least Common Multiple (LCM) of 3311 and 3318 is 1569414.
LCM(3311,3318) = 1569414
LCM of 3311 and 3318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3311 and 3318 by Prime method
- Least Common Multiple of 3311 and 3318 with GCF Formula
LCM of 3311 and 3318 is 1569414
Least common multiple can be found by multiplying the highest exponent prime factors of 3311 and 3318. First we will calculate the prime factors of 3311 and 3318.
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 3318
| 2 | 3318 |
| 3 | 1659 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 3318 are 2, 3, 7,79. Prime factorization of 3318 in exponential form is:
3318 = 21×31×71×791
Now multiplying the highest exponent prime factors to calculate the LCM of 3311 and 3318.
LCM(3311,3318) = 21×31×71×111×431×791
LCM(3311,3318) = 1569414
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 3318
List of positive integer factors of 3318 that divides 3318 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318
Least Common Multiple of 3311 and 3318 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 3318, than apply into the LCM equation.
GCF(3311,3318) = 7
LCM(3311,3318) = ( 3311 × 3318) / 7
LCM(3311,3318) = 10985898 / 7
LCM(3311,3318) = 1569414
Properties of LCM 3311 and 3318
(i) The LCM of 3318 and 3311 is associative
LCM of 3311 and 3318 = LCM of 3318 and 3311
Related Least Common Multiples of 3311
Related Least Common Multiples of 3318
Frequently Asked Questions on LCM of 3311 and 3318
1. What is the LCM of 3311 and 3318?
Answer: LCM of 3311 and 3318 is 1569414.
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 3318?
Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.
4. How to Find the LCM of 3311 and 3318?
Answer:
Least Common Multiple of 3311 and 3318 = 1569414
Step 1: Find the prime factorization of 3311
3311 = 7 x 11 x 43
Step 2: Find the prime factorization of 3318
3318 = 2 x 3 x 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1569414 = 2 x 3 x 7 x 11 x 43 x 79
Step 4: Therefore, the least common multiple of 3311 and 3318 is 1569414.