Least Common Multiple of 3397 and 3403
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 3403 the smallest integer that is 11559991 that is divisible by both numbers.
Least Common Multiple (LCM) of 3397 and 3403 is 11559991.
LCM(3397,3403) = 11559991
LCM of 3397 and 3403
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3397 and 3403 by Prime method
- Least Common Multiple of 3397 and 3403 with GCF Formula
LCM of 3397 and 3403 is 11559991
Least common multiple can be found by multiplying the highest exponent prime factors of 3397 and 3403. First we will calculate the prime factors of 3397 and 3403.
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 3403
| 41 | 3403 |
| 83 | 83 |
| 1 |
Prime factors of 3403 are 41,83. Prime factorization of 3403 in exponential form is:
3403 = 411×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3397 and 3403.
LCM(3397,3403) = 411×431×791×831
LCM(3397,3403) = 11559991
Factors of 3397
List of positive integer factors of 3397 that divides 3397 without a remainder.
1, 43, 79, 3397
Factors of 3403
List of positive integer factors of 3403 that divides 3403 without a remainder.
1, 41, 83, 3403
Least Common Multiple of 3397 and 3403 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 3403, than apply into the LCM equation.
GCF(3397,3403) = 1
LCM(3397,3403) = ( 3397 × 3403) / 1
LCM(3397,3403) = 11559991 / 1
LCM(3397,3403) = 11559991
Properties of LCM 3397 and 3403
(i) The LCM of 3403 and 3397 is associative
LCM of 3397 and 3403 = LCM of 3403 and 3397
Related Least Common Multiples of 3397
Related Least Common Multiples of 3403
Frequently Asked Questions on LCM of 3397 and 3403
1. What is the LCM of 3397 and 3403?
Answer: LCM of 3397 and 3403 is 11559991.
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 3403?
Answer: Factors of 3403 are 1, 41, 83, 3403. There are 4 integers that are factors of 3403. The greatest factor of 3403 is 3403.
4. How to Find the LCM of 3397 and 3403?
Answer:
Least Common Multiple of 3397 and 3403 = 11559991
Step 1: Find the prime factorization of 3397
3397 = 43 x 79
Step 2: Find the prime factorization of 3403
3403 = 41 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11559991 = 41 x 43 x 79 x 83
Step 4: Therefore, the least common multiple of 3397 and 3403 is 11559991.