Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7418 and 7426 the smallest integer that is 27543034 that is divisible by both numbers.
Least Common Multiple (LCM) of 7418 and 7426 is 27543034.
LCM(7418,7426) = 27543034
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 7418 and 7426. First we will calculate the prime factors of 7418 and 7426.
Prime Factorization of 7418
2 | 7418 |
3709 | 3709 |
1 |
Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:
7418 = 21×37091
Prime Factorization of 7426
2 | 7426 |
47 | 3713 |
79 | 79 |
1 |
Prime factors of 7426 are 2, 47,79. Prime factorization of 7426 in exponential form is:
7426 = 21×471×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7426.
LCM(7418,7426) = 21×471×791×37091
LCM(7418,7426) = 27543034
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1, 2, 3709, 7418
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1, 2, 47, 79, 94, 158, 3713, 7426
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7418 and 7426, than apply into the LCM equation.
GCF(7418,7426) = 2
LCM(7418,7426) = ( 7418 × 7426) / 2
LCM(7418,7426) = 55086068 / 2
LCM(7418,7426) = 27543034
(i) The LCM of 7426 and 7418 is associative
LCM of 7418 and 7426 = LCM of 7426 and 7418
1. What is the LCM of 7418 and 7426?
Answer: LCM of 7418 and 7426 is 27543034.
2. What are the Factors of 7418?
Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.
3. What are the Factors of 7426?
Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.
4. How to Find the LCM of 7418 and 7426?
Answer:
Least Common Multiple of 7418 and 7426 = 27543034
Step 1: Find the prime factorization of 7418
7418 = 2 x 3709
Step 2: Find the prime factorization of 7426
7426 = 2 x 47 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27543034 = 2 x 47 x 79 x 3709
Step 4: Therefore, the least common multiple of 7418 and 7426 is 27543034.