Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1418 and 1422 the smallest integer that is 1008198 that is divisible by both numbers.
Least Common Multiple (LCM) of 1418 and 1422 is 1008198.
LCM(1418,1422) = 1008198
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 1418 and 1422. First we will calculate the prime factors of 1418 and 1422.
Prime Factorization of 1418
2 | 1418 |
709 | 709 |
1 |
Prime factors of 1418 are 2,709. Prime factorization of 1418 in exponential form is:
1418 = 21×7091
Prime Factorization of 1422
2 | 1422 |
3 | 711 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 1422 are 2, 3,79. Prime factorization of 1422 in exponential form is:
1422 = 21×32×791
Now multiplying the highest exponent prime factors to calculate the LCM of 1418 and 1422.
LCM(1418,1422) = 21×32×791×7091
LCM(1418,1422) = 1008198
Factors of 1418
List of positive integer factors of 1418 that divides 1418 without a remainder.
1, 2, 709, 1418
Factors of 1422
List of positive integer factors of 1422 that divides 1422 without a remainder.
1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1418 and 1422, than apply into the LCM equation.
GCF(1418,1422) = 2
LCM(1418,1422) = ( 1418 × 1422) / 2
LCM(1418,1422) = 2016396 / 2
LCM(1418,1422) = 1008198
(i) The LCM of 1422 and 1418 is associative
LCM of 1418 and 1422 = LCM of 1422 and 1418
1. What is the LCM of 1418 and 1422?
Answer: LCM of 1418 and 1422 is 1008198.
2. What are the Factors of 1418?
Answer: Factors of 1418 are 1, 2, 709, 1418. There are 4 integers that are factors of 1418. The greatest factor of 1418 is 1418.
3. What are the Factors of 1422?
Answer: Factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422. There are 12 integers that are factors of 1422. The greatest factor of 1422 is 1422.
4. How to Find the LCM of 1418 and 1422?
Answer:
Least Common Multiple of 1418 and 1422 = 1008198
Step 1: Find the prime factorization of 1418
1418 = 2 x 709
Step 2: Find the prime factorization of 1422
1422 = 2 x 3 x 3 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 = 1008198 = 2 x 3 x 3 x 79 x 709
Step 4: Therefore, the least common multiple of 1418 and 1422 is 1008198.