Least Common Multiple of 3397 and 3405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3397 and 3405 the smallest integer that is 11566785 that is divisible by both numbers.
Least Common Multiple (LCM) of 3397 and 3405 is 11566785.
LCM(3397,3405) = 11566785
LCM of 3397 and 3405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3397 and 3405 by Prime method
- Least Common Multiple of 3397 and 3405 with GCF Formula
LCM of 3397 and 3405 is 11566785
Least common multiple can be found by multiplying the highest exponent prime factors of 3397 and 3405. First we will calculate the prime factors of 3397 and 3405.
Prime Factorization of 3397
| 43 | 3397 |
| 79 | 79 |
| 1 |
Prime factors of 3397 are 43,79. Prime factorization of 3397 in exponential form is:
3397 = 431×791
Prime Factorization of 3405
| 3 | 3405 |
| 5 | 1135 |
| 227 | 227 |
| 1 |
Prime factors of 3405 are 3, 5,227. Prime factorization of 3405 in exponential form is:
3405 = 31×51×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 3397 and 3405.
LCM(3397,3405) = 31×51×431×791×2271
LCM(3397,3405) = 11566785
Factors of 3397
List of positive integer factors of 3397 that divides 3397 without a remainder.
1, 43, 79, 3397
Factors of 3405
List of positive integer factors of 3405 that divides 3405 without a remainder.
1, 3, 5, 15, 227, 681, 1135, 3405
Least Common Multiple of 3397 and 3405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3397 and 3405, than apply into the LCM equation.
GCF(3397,3405) = 1
LCM(3397,3405) = ( 3397 × 3405) / 1
LCM(3397,3405) = 11566785 / 1
LCM(3397,3405) = 11566785
Properties of LCM 3397 and 3405
(i) The LCM of 3405 and 3397 is associative
LCM of 3397 and 3405 = LCM of 3405 and 3397
Related Least Common Multiples of 3397
Related Least Common Multiples of 3405
Frequently Asked Questions on LCM of 3397 and 3405
1. What is the LCM of 3397 and 3405?
Answer: LCM of 3397 and 3405 is 11566785.
2. What are the Factors of 3397?
Answer: Factors of 3397 are 1, 43, 79, 3397. There are 4 integers that are factors of 3397. The greatest factor of 3397 is 3397.
3. What are the Factors of 3405?
Answer: Factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405. There are 8 integers that are factors of 3405. The greatest factor of 3405 is 3405.
4. How to Find the LCM of 3397 and 3405?
Answer:
Least Common Multiple of 3397 and 3405 = 11566785
Step 1: Find the prime factorization of 3397
3397 = 43 x 79
Step 2: Find the prime factorization of 3405
3405 = 3 x 5 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11566785 = 3 x 5 x 43 x 79 x 227
Step 4: Therefore, the least common multiple of 3397 and 3405 is 11566785.