Least Common Multiple of 3399 and 3404
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3399 and 3404 the smallest integer that is 11570196 that is divisible by both numbers.
Least Common Multiple (LCM) of 3399 and 3404 is 11570196.
LCM(3399,3404) = 11570196
LCM of 3399 and 3404
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3399 and 3404 by Prime method
- Least Common Multiple of 3399 and 3404 with GCF Formula
LCM of 3399 and 3404 is 11570196
Least common multiple can be found by multiplying the highest exponent prime factors of 3399 and 3404. First we will calculate the prime factors of 3399 and 3404.
Prime Factorization of 3399
| 3 | 3399 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 3399 are 3, 11,103. Prime factorization of 3399 in exponential form is:
3399 = 31×111×1031
Prime Factorization of 3404
| 2 | 3404 |
| 2 | 1702 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 3404 are 2, 23,37. Prime factorization of 3404 in exponential form is:
3404 = 22×231×371
Now multiplying the highest exponent prime factors to calculate the LCM of 3399 and 3404.
LCM(3399,3404) = 22×31×111×231×371×1031
LCM(3399,3404) = 11570196
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1, 3, 11, 33, 103, 309, 1133, 3399
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
Least Common Multiple of 3399 and 3404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3399 and 3404, than apply into the LCM equation.
GCF(3399,3404) = 1
LCM(3399,3404) = ( 3399 × 3404) / 1
LCM(3399,3404) = 11570196 / 1
LCM(3399,3404) = 11570196
Properties of LCM 3399 and 3404
(i) The LCM of 3404 and 3399 is associative
LCM of 3399 and 3404 = LCM of 3404 and 3399
Related Least Common Multiples of 3399
Related Least Common Multiples of 3404
Frequently Asked Questions on LCM of 3399 and 3404
1. What is the LCM of 3399 and 3404?
Answer: LCM of 3399 and 3404 is 11570196.
2. What are the Factors of 3399?
Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.
3. What are the Factors of 3404?
Answer: Factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. There are 12 integers that are factors of 3404. The greatest factor of 3404 is 3404.
4. How to Find the LCM of 3399 and 3404?
Answer:
Least Common Multiple of 3399 and 3404 = 11570196
Step 1: Find the prime factorization of 3399
3399 = 3 x 11 x 103
Step 2: Find the prime factorization of 3404
3404 = 2 x 2 x 23 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11570196 = 2 x 2 x 3 x 11 x 23 x 37 x 103
Step 4: Therefore, the least common multiple of 3399 and 3404 is 11570196.