Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3297 and 3301 the smallest integer that is 10883397 that is divisible by both numbers.
Least Common Multiple (LCM) of 3297 and 3301 is 10883397.
LCM(3297,3301) = 10883397
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 3297 and 3301. First we will calculate the prime factors of 3297 and 3301.
Prime Factorization of 3297
3 | 3297 |
7 | 1099 |
157 | 157 |
1 |
Prime factors of 3297 are 3, 7,157. Prime factorization of 3297 in exponential form is:
3297 = 31×71×1571
Prime Factorization of 3301
3301 | 3301 |
1 |
Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:
3301 = 33011
Now multiplying the highest exponent prime factors to calculate the LCM of 3297 and 3301.
LCM(3297,3301) = 31×71×1571×33011
LCM(3297,3301) = 10883397
Factors of 3297
List of positive integer factors of 3297 that divides 3297 without a remainder.
1, 3, 7, 21, 157, 471, 1099, 3297
Factors of 3301
List of positive integer factors of 3301 that divides 3301 without a remainder.
1, 3301
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3297 and 3301, than apply into the LCM equation.
GCF(3297,3301) = 1
LCM(3297,3301) = ( 3297 × 3301) / 1
LCM(3297,3301) = 10883397 / 1
LCM(3297,3301) = 10883397
(i) The LCM of 3301 and 3297 is associative
LCM of 3297 and 3301 = LCM of 3301 and 3297
1. What is the LCM of 3297 and 3301?
Answer: LCM of 3297 and 3301 is 10883397.
2. What are the Factors of 3297?
Answer: Factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297. There are 8 integers that are factors of 3297. The greatest factor of 3297 is 3297.
3. 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.
4. How to Find the LCM of 3297 and 3301?
Answer:
Least Common Multiple of 3297 and 3301 = 10883397
Step 1: Find the prime factorization of 3297
3297 = 3 x 7 x 157
Step 2: Find the prime factorization of 3301
3301 = 3301
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10883397 = 3 x 7 x 157 x 3301
Step 4: Therefore, the least common multiple of 3297 and 3301 is 10883397.