Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3411 and 3418 the smallest integer that is 11658798 that is divisible by both numbers.
Least Common Multiple (LCM) of 3411 and 3418 is 11658798.
LCM(3411,3418) = 11658798
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 3411 and 3418. First we will calculate the prime factors of 3411 and 3418.
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
Prime Factorization of 3418
2 | 3418 |
1709 | 1709 |
1 |
Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:
3418 = 21×17091
Now multiplying the highest exponent prime factors to calculate the LCM of 3411 and 3418.
LCM(3411,3418) = 21×32×3791×17091
LCM(3411,3418) = 11658798
Factors of 3411
List of positive integer factors of 3411 that divides 3411 without a remainder.
1, 3, 9, 379, 1137, 3411
Factors of 3418
List of positive integer factors of 3418 that divides 3418 without a remainder.
1, 2, 1709, 3418
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3411 and 3418, than apply into the LCM equation.
GCF(3411,3418) = 1
LCM(3411,3418) = ( 3411 × 3418) / 1
LCM(3411,3418) = 11658798 / 1
LCM(3411,3418) = 11658798
(i) The LCM of 3418 and 3411 is associative
LCM of 3411 and 3418 = LCM of 3418 and 3411
1. What is the LCM of 3411 and 3418?
Answer: LCM of 3411 and 3418 is 11658798.
2. 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.
3. What are the Factors of 3418?
Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.
4. How to Find the LCM of 3411 and 3418?
Answer:
Least Common Multiple of 3411 and 3418 = 11658798
Step 1: Find the prime factorization of 3411
3411 = 3 x 3 x 379
Step 2: Find the prime factorization of 3418
3418 = 2 x 1709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11658798 = 2 x 3 x 3 x 379 x 1709
Step 4: Therefore, the least common multiple of 3411 and 3418 is 11658798.