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 3308 the smallest integer that is 10919708 that is divisible by both numbers.
Least Common Multiple (LCM) of 3301 and 3308 is 10919708.
LCM(3301,3308) = 10919708
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3301 and 3308. First we will calculate the prime factors of 3301 and 3308.
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 3308
2 | 3308 |
2 | 1654 |
827 | 827 |
1 |
Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:
3308 = 22×8271
Now multiplying the highest exponent prime factors to calculate the LCM of 3301 and 3308.
LCM(3301,3308) = 22×8271×33011
LCM(3301,3308) = 10919708
Factors of 3301
List of positive integer factors of 3301 that divides 3301 without a remainder.
1, 3301
Factors of 3308
List of positive integer factors of 3308 that divides 3308 without a remainder.
1, 2, 4, 827, 1654, 3308
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3301 and 3308, than apply into the LCM equation.
GCF(3301,3308) = 1
LCM(3301,3308) = ( 3301 × 3308) / 1
LCM(3301,3308) = 10919708 / 1
LCM(3301,3308) = 10919708
(i) The LCM of 3308 and 3301 is associative
LCM of 3301 and 3308 = LCM of 3308 and 3301
1. What is the LCM of 3301 and 3308?
Answer: LCM of 3301 and 3308 is 10919708.
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 3308?
Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.
4. How to Find the LCM of 3301 and 3308?
Answer:
Least Common Multiple of 3301 and 3308 = 10919708
Step 1: Find the prime factorization of 3301
3301 = 3301
Step 2: Find the prime factorization of 3308
3308 = 2 x 2 x 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10919708 = 2 x 2 x 827 x 3301
Step 4: Therefore, the least common multiple of 3301 and 3308 is 10919708.