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 3411 the smallest integer that is 11607633 that is divisible by both numbers.
Least Common Multiple (LCM) of 3403 and 3411 is 11607633.
LCM(3403,3411) = 11607633
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 3403 and 3411. First we will calculate the prime factors of 3403 and 3411.
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 3411
3 | 3411 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 3411 are 3,379. Prime factorization of 3411 in exponential form is:
3411 = 32×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 3403 and 3411.
LCM(3403,3411) = 32×411×831×3791
LCM(3403,3411) = 11607633
Factors of 3403
List of positive integer factors of 3403 that divides 3403 without a remainder.
1, 41, 83, 3403
Factors of 3411
List of positive integer factors of 3411 that divides 3411 without a remainder.
1, 3, 9, 379, 1137, 3411
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3403 and 3411, than apply into the LCM equation.
GCF(3403,3411) = 1
LCM(3403,3411) = ( 3403 × 3411) / 1
LCM(3403,3411) = 11607633 / 1
LCM(3403,3411) = 11607633
(i) The LCM of 3411 and 3403 is associative
LCM of 3403 and 3411 = LCM of 3411 and 3403
1. What is the LCM of 3403 and 3411?
Answer: LCM of 3403 and 3411 is 11607633.
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 3411?
Answer: Factors of 3411 are 1, 3, 9, 379, 1137, 3411. There are 6 integers that are factors of 3411. The greatest factor of 3411 is 3411.
4. How to Find the LCM of 3403 and 3411?
Answer:
Least Common Multiple of 3403 and 3411 = 11607633
Step 1: Find the prime factorization of 3403
3403 = 41 x 83
Step 2: Find the prime factorization of 3411
3411 = 3 x 3 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11607633 = 3 x 3 x 41 x 83 x 379
Step 4: Therefore, the least common multiple of 3403 and 3411 is 11607633.