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 7422 the smallest integer that is 27528198 that is divisible by both numbers.
Least Common Multiple (LCM) of 7418 and 7422 is 27528198.
LCM(7418,7422) = 27528198
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 7422. First we will calculate the prime factors of 7418 and 7422.
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 7422
2 | 7422 |
3 | 3711 |
1237 | 1237 |
1 |
Prime factors of 7422 are 2, 3,1237. Prime factorization of 7422 in exponential form is:
7422 = 21×31×12371
Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7422.
LCM(7418,7422) = 21×31×12371×37091
LCM(7418,7422) = 27528198
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1, 2, 3709, 7418
Factors of 7422
List of positive integer factors of 7422 that divides 7422 without a remainder.
1, 2, 3, 6, 1237, 2474, 3711, 7422
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7418 and 7422, than apply into the LCM equation.
GCF(7418,7422) = 2
LCM(7418,7422) = ( 7418 × 7422) / 2
LCM(7418,7422) = 55056396 / 2
LCM(7418,7422) = 27528198
(i) The LCM of 7422 and 7418 is associative
LCM of 7418 and 7422 = LCM of 7422 and 7418
1. What is the LCM of 7418 and 7422?
Answer: LCM of 7418 and 7422 is 27528198.
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 7422?
Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.
4. How to Find the LCM of 7418 and 7422?
Answer:
Least Common Multiple of 7418 and 7422 = 27528198
Step 1: Find the prime factorization of 7418
7418 = 2 x 3709
Step 2: Find the prime factorization of 7422
7422 = 2 x 3 x 1237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27528198 = 2 x 3 x 1237 x 3709
Step 4: Therefore, the least common multiple of 7418 and 7422 is 27528198.