Least Common Multiple of 3299 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 3299 and 3306 the smallest integer that is 10906494 that is divisible by both numbers.
Least Common Multiple (LCM) of 3299 and 3306 is 10906494.
LCM(3299,3306) = 10906494
LCM of 3299 and 3306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3299 and 3306 by Prime method
- Least Common Multiple of 3299 and 3306 with GCF Formula
LCM of 3299 and 3306 is 10906494
Least common multiple can be found by multiplying the highest exponent prime factors of 3299 and 3306. First we will calculate the prime factors of 3299 and 3306.
Prime Factorization of 3299
| 3299 | 3299 |
| 1 |
Prime factors of 3299 are 3299. Prime factorization of 3299 in exponential form is:
3299 = 32991
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 3299 and 3306.
LCM(3299,3306) = 21×31×191×291×32991
LCM(3299,3306) = 10906494
Factors of 3299
List of positive integer factors of 3299 that divides 3299 without a remainder.
1, 3299
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 3299 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 3299 and 3306, than apply into the LCM equation.
GCF(3299,3306) = 1
LCM(3299,3306) = ( 3299 × 3306) / 1
LCM(3299,3306) = 10906494 / 1
LCM(3299,3306) = 10906494
Properties of LCM 3299 and 3306
(i) The LCM of 3306 and 3299 is associative
LCM of 3299 and 3306 = LCM of 3306 and 3299
Related Least Common Multiples of 3299
Related Least Common Multiples of 3306
Frequently Asked Questions on LCM of 3299 and 3306
1. What is the LCM of 3299 and 3306?
Answer: LCM of 3299 and 3306 is 10906494.
2. What are the Factors of 3299?
Answer: Factors of 3299 are 1, 3299. There are 2 integers that are factors of 3299. The greatest factor of 3299 is 3299.
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 3299 and 3306?
Answer:
Least Common Multiple of 3299 and 3306 = 10906494
Step 1: Find the prime factorization of 3299
3299 = 3299
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 = 10906494 = 2 x 3 x 19 x 29 x 3299
Step 4: Therefore, the least common multiple of 3299 and 3306 is 10906494.