Least Common Multiple of 3403 and 3406
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3403 and 3406 the smallest integer that is 11590618 that is divisible by both numbers.
Least Common Multiple (LCM) of 3403 and 3406 is 11590618.
LCM(3403,3406) = 11590618
LCM of 3403 and 3406
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3403 and 3406 by Prime method
- Least Common Multiple of 3403 and 3406 with GCF Formula
LCM of 3403 and 3406 is 11590618
Least common multiple can be found by multiplying the highest exponent prime factors of 3403 and 3406. First we will calculate the prime factors of 3403 and 3406.
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
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 3403 and 3406.
LCM(3403,3406) = 21×131×411×831×1311
LCM(3403,3406) = 11590618
Factors of 3403
List of positive integer factors of 3403 that divides 3403 without a remainder.
1, 41, 83, 3403
Factors of 3406
List of positive integer factors of 3406 that divides 3406 without a remainder.
1, 2, 13, 26, 131, 262, 1703, 3406
Least Common Multiple of 3403 and 3406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3403 and 3406, than apply into the LCM equation.
GCF(3403,3406) = 1
LCM(3403,3406) = ( 3403 × 3406) / 1
LCM(3403,3406) = 11590618 / 1
LCM(3403,3406) = 11590618
Properties of LCM 3403 and 3406
(i) The LCM of 3406 and 3403 is associative
LCM of 3403 and 3406 = LCM of 3406 and 3403
Related Least Common Multiples of 3403
Related Least Common Multiples of 3406
Frequently Asked Questions on LCM of 3403 and 3406
1. What is the LCM of 3403 and 3406?
Answer: LCM of 3403 and 3406 is 11590618.
2. 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.
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 3403 and 3406?
Answer:
Least Common Multiple of 3403 and 3406 = 11590618
Step 1: Find the prime factorization of 3403
3403 = 41 x 83
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 = 11590618 = 2 x 13 x 41 x 83 x 131
Step 4: Therefore, the least common multiple of 3403 and 3406 is 11590618.
