Least Common Multiple of 16418 and 16422
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16418 and 16422 the smallest integer that is 134808198 that is divisible by both numbers.
Least Common Multiple (LCM) of 16418 and 16422 is 134808198.
LCM(16418,16422) = 134808198
LCM of 16418 and 16422
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 16418 and 16422 by Prime method
- Least Common Multiple of 16418 and 16422 with GCF Formula
LCM of 16418 and 16422 is 134808198
Least common multiple can be found by multiplying the highest exponent prime factors of 16418 and 16422. First we will calculate the prime factors of 16418 and 16422.
Prime Factorization of 16418
| 2 | 16418 |
| 8209 | 8209 |
| 1 |
Prime factors of 16418 are 2,8209. Prime factorization of 16418 in exponential form is:
16418 = 21×82091
Prime Factorization of 16422
| 2 | 16422 |
| 3 | 8211 |
| 7 | 2737 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 16422 are 2, 3, 7, 17,23. Prime factorization of 16422 in exponential form is:
16422 = 21×31×71×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 16418 and 16422.
LCM(16418,16422) = 21×31×71×171×231×82091
LCM(16418,16422) = 134808198
Factors of 16418
List of positive integer factors of 16418 that divides 16418 without a remainder.
1, 2, 8209, 16418
Factors of 16422
List of positive integer factors of 16422 that divides 16422 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422
Least Common Multiple of 16418 and 16422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16418 and 16422, than apply into the LCM equation.
GCF(16418,16422) = 2
LCM(16418,16422) = ( 16418 × 16422) / 2
LCM(16418,16422) = 269616396 / 2
LCM(16418,16422) = 134808198
Properties of LCM 16418 and 16422
(i) The LCM of 16422 and 16418 is associative
LCM of 16418 and 16422 = LCM of 16422 and 16418
Related Least Common Multiples of 16418
Related Least Common Multiples of 16422
Frequently Asked Questions on LCM of 16418 and 16422
1. What is the LCM of 16418 and 16422?
Answer: LCM of 16418 and 16422 is 134808198.
2. What are the Factors of 16418?
Answer: Factors of 16418 are 1, 2, 8209, 16418. There are 4 integers that are factors of 16418. The greatest factor of 16418 is 16418.
3. What are the Factors of 16422?
Answer: Factors of 16422 are 1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422. There are 32 integers that are factors of 16422. The greatest factor of 16422 is 16422.
4. How to Find the LCM of 16418 and 16422?
Answer:
Least Common Multiple of 16418 and 16422 = 134808198
Step 1: Find the prime factorization of 16418
16418 = 2 x 8209
Step 2: Find the prime factorization of 16422
16422 = 2 x 3 x 7 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 134808198 = 2 x 3 x 7 x 17 x 23 x 8209
Step 4: Therefore, the least common multiple of 16418 and 16422 is 134808198.