Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3404 and 3406 the smallest integer that is 5797012 that is divisible by both numbers.
Least Common Multiple (LCM) of 3404 and 3406 is 5797012.
LCM(3404,3406) = 5797012
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 3404 and 3406. First we will calculate the prime factors of 3404 and 3406.
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
Prime Factorization of 3406
2 | 3406 |
13 | 1703 |
131 | 131 |
1 |
Prime factors of 3406 are 2, 13,131. Prime factorization of 3406 in exponential form is:
3406 = 21×131×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 3404 and 3406.
LCM(3404,3406) = 22×131×231×371×1311
LCM(3404,3406) = 5797012
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
Factors of 3406
List of positive integer factors of 3406 that divides 3406 without a remainder.
1, 2, 13, 26, 131, 262, 1703, 3406
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3404 and 3406, than apply into the LCM equation.
GCF(3404,3406) = 2
LCM(3404,3406) = ( 3404 × 3406) / 2
LCM(3404,3406) = 11594024 / 2
LCM(3404,3406) = 5797012
(i) The LCM of 3406 and 3404 is associative
LCM of 3404 and 3406 = LCM of 3406 and 3404
1. What is the LCM of 3404 and 3406?
Answer: LCM of 3404 and 3406 is 5797012.
2. 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.
3. What are the Factors of 3406?
Answer: Factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406. There are 8 integers that are factors of 3406. The greatest factor of 3406 is 3406.
4. How to Find the LCM of 3404 and 3406?
Answer:
Least Common Multiple of 3404 and 3406 = 5797012
Step 1: Find the prime factorization of 3404
3404 = 2 x 2 x 23 x 37
Step 2: Find the prime factorization of 3406
3406 = 2 x 13 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5797012 = 2 x 2 x 13 x 23 x 37 x 131
Step 4: Therefore, the least common multiple of 3404 and 3406 is 5797012.