Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3418 and 3426 the smallest integer that is 5855034 that is divisible by both numbers.
Least Common Multiple (LCM) of 3418 and 3426 is 5855034.
LCM(3418,3426) = 5855034
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 3418 and 3426. First we will calculate the prime factors of 3418 and 3426.
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
Prime Factorization of 3426
2 | 3426 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 3426 are 2, 3,571. Prime factorization of 3426 in exponential form is:
3426 = 21×31×5711
Now multiplying the highest exponent prime factors to calculate the LCM of 3418 and 3426.
LCM(3418,3426) = 21×31×5711×17091
LCM(3418,3426) = 5855034
Factors of 3418
List of positive integer factors of 3418 that divides 3418 without a remainder.
1, 2, 1709, 3418
Factors of 3426
List of positive integer factors of 3426 that divides 3426 without a remainder.
1, 2, 3, 6, 571, 1142, 1713, 3426
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3418 and 3426, than apply into the LCM equation.
GCF(3418,3426) = 2
LCM(3418,3426) = ( 3418 × 3426) / 2
LCM(3418,3426) = 11710068 / 2
LCM(3418,3426) = 5855034
(i) The LCM of 3426 and 3418 is associative
LCM of 3418 and 3426 = LCM of 3426 and 3418
1. What is the LCM of 3418 and 3426?
Answer: LCM of 3418 and 3426 is 5855034.
2. 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.
3. What are the Factors of 3426?
Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.
4. How to Find the LCM of 3418 and 3426?
Answer:
Least Common Multiple of 3418 and 3426 = 5855034
Step 1: Find the prime factorization of 3418
3418 = 2 x 1709
Step 2: Find the prime factorization of 3426
3426 = 2 x 3 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5855034 = 2 x 3 x 571 x 1709
Step 4: Therefore, the least common multiple of 3418 and 3426 is 5855034.