Least Common Multiple of 3297 and 3305
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 3305 the smallest integer that is 10896585 that is divisible by both numbers.
Least Common Multiple (LCM) of 3297 and 3305 is 10896585.
LCM(3297,3305) = 10896585
LCM of 3297 and 3305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3297 and 3305 by Prime method
- Least Common Multiple of 3297 and 3305 with GCF Formula
LCM of 3297 and 3305 is 10896585
Least common multiple can be found by multiplying the highest exponent prime factors of 3297 and 3305. First we will calculate the prime factors of 3297 and 3305.
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 3305
| 5 | 3305 |
| 661 | 661 |
| 1 |
Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:
3305 = 51×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 3297 and 3305.
LCM(3297,3305) = 31×51×71×1571×6611
LCM(3297,3305) = 10896585
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 3305
List of positive integer factors of 3305 that divides 3305 without a remainder.
1, 5, 661, 3305
Least Common Multiple of 3297 and 3305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3297 and 3305, than apply into the LCM equation.
GCF(3297,3305) = 1
LCM(3297,3305) = ( 3297 × 3305) / 1
LCM(3297,3305) = 10896585 / 1
LCM(3297,3305) = 10896585
Properties of LCM 3297 and 3305
(i) The LCM of 3305 and 3297 is associative
LCM of 3297 and 3305 = LCM of 3305 and 3297
Related Least Common Multiples of 3297
Related Least Common Multiples of 3305
Frequently Asked Questions on LCM of 3297 and 3305
1. What is the LCM of 3297 and 3305?
Answer: LCM of 3297 and 3305 is 10896585.
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 3305?
Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.
4. How to Find the LCM of 3297 and 3305?
Answer:
Least Common Multiple of 3297 and 3305 = 10896585
Step 1: Find the prime factorization of 3297
3297 = 3 x 7 x 157
Step 2: Find the prime factorization of 3305
3305 = 5 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10896585 = 3 x 5 x 7 x 157 x 661
Step 4: Therefore, the least common multiple of 3297 and 3305 is 10896585.