Least Common Multiple of 16413 and 16418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16413 and 16418 the smallest integer that is 269468634 that is divisible by both numbers.
Least Common Multiple (LCM) of 16413 and 16418 is 269468634.
LCM(16413,16418) = 269468634
LCM of 16413 and 16418
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 16413 and 16418 by Prime method
- Least Common Multiple of 16413 and 16418 with GCF Formula
LCM of 16413 and 16418 is 269468634
Least common multiple can be found by multiplying the highest exponent prime factors of 16413 and 16418. First we will calculate the prime factors of 16413 and 16418.
Prime Factorization of 16413
| 3 | 16413 |
| 5471 | 5471 |
| 1 |
Prime factors of 16413 are 3,5471. Prime factorization of 16413 in exponential form is:
16413 = 31×54711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 16413 and 16418.
LCM(16413,16418) = 21×31×54711×82091
LCM(16413,16418) = 269468634
Factors of 16413
List of positive integer factors of 16413 that divides 16413 without a remainder.
1, 3, 5471, 16413
Factors of 16418
List of positive integer factors of 16418 that divides 16418 without a remainder.
1, 2, 8209, 16418
Least Common Multiple of 16413 and 16418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16413 and 16418, than apply into the LCM equation.
GCF(16413,16418) = 1
LCM(16413,16418) = ( 16413 × 16418) / 1
LCM(16413,16418) = 269468634 / 1
LCM(16413,16418) = 269468634
Properties of LCM 16413 and 16418
(i) The LCM of 16418 and 16413 is associative
LCM of 16413 and 16418 = LCM of 16418 and 16413
Related Least Common Multiples of 16413
Related Least Common Multiples of 16418
Frequently Asked Questions on LCM of 16413 and 16418
1. What is the LCM of 16413 and 16418?
Answer: LCM of 16413 and 16418 is 269468634.
2. What are the Factors of 16413?
Answer: Factors of 16413 are 1, 3, 5471, 16413. There are 4 integers that are factors of 16413. The greatest factor of 16413 is 16413.
3. 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.
4. How to Find the LCM of 16413 and 16418?
Answer:
Least Common Multiple of 16413 and 16418 = 269468634
Step 1: Find the prime factorization of 16413
16413 = 3 x 5471
Step 2: Find the prime factorization of 16418
16418 = 2 x 8209
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 269468634 = 2 x 3 x 5471 x 8209
Step 4: Therefore, the least common multiple of 16413 and 16418 is 269468634.