Least Common Multiple of 3301 and 3306
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3301 and 3306 the smallest integer that is 10913106 that is divisible by both numbers.
Least Common Multiple (LCM) of 3301 and 3306 is 10913106.
LCM(3301,3306) = 10913106
LCM of 3301 and 3306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3301 and 3306 by Prime method
- Least Common Multiple of 3301 and 3306 with GCF Formula
LCM of 3301 and 3306 is 10913106
Least common multiple can be found by multiplying the highest exponent prime factors of 3301 and 3306. First we will calculate the prime factors of 3301 and 3306.
Prime Factorization of 3301
| 3301 | 3301 |
| 1 |
Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:
3301 = 33011
Prime Factorization of 3306
| 2 | 3306 |
| 3 | 1653 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 3306 are 2, 3, 19,29. Prime factorization of 3306 in exponential form is:
3306 = 21×31×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3301 and 3306.
LCM(3301,3306) = 21×31×191×291×33011
LCM(3301,3306) = 10913106
Factors of 3301
List of positive integer factors of 3301 that divides 3301 without a remainder.
1, 3301
Factors of 3306
List of positive integer factors of 3306 that divides 3306 without a remainder.
1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306
Least Common Multiple of 3301 and 3306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3301 and 3306, than apply into the LCM equation.
GCF(3301,3306) = 1
LCM(3301,3306) = ( 3301 × 3306) / 1
LCM(3301,3306) = 10913106 / 1
LCM(3301,3306) = 10913106
Properties of LCM 3301 and 3306
(i) The LCM of 3306 and 3301 is associative
LCM of 3301 and 3306 = LCM of 3306 and 3301
Related Least Common Multiples of 3301
Related Least Common Multiples of 3306
Frequently Asked Questions on LCM of 3301 and 3306
1. What is the LCM of 3301 and 3306?
Answer: LCM of 3301 and 3306 is 10913106.
2. What are the Factors of 3301?
Answer: Factors of 3301 are 1, 3301. There are 2 integers that are factors of 3301. The greatest factor of 3301 is 3301.
3. What are the Factors of 3306?
Answer: Factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306. There are 16 integers that are factors of 3306. The greatest factor of 3306 is 3306.
4. How to Find the LCM of 3301 and 3306?
Answer:
Least Common Multiple of 3301 and 3306 = 10913106
Step 1: Find the prime factorization of 3301
3301 = 3301
Step 2: Find the prime factorization of 3306
3306 = 2 x 3 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10913106 = 2 x 3 x 19 x 29 x 3301
Step 4: Therefore, the least common multiple of 3301 and 3306 is 10913106.
