Least Common Multiple of 6417 and 6418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6417 and 6418 the smallest integer that is 41184306 that is divisible by both numbers.
Least Common Multiple (LCM) of 6417 and 6418 is 41184306.
LCM(6417,6418) = 41184306
LCM of 6417 and 6418
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6417 and 6418 by Prime method
- Least Common Multiple of 6417 and 6418 with GCF Formula
LCM of 6417 and 6418 is 41184306
Least common multiple can be found by multiplying the highest exponent prime factors of 6417 and 6418. First we will calculate the prime factors of 6417 and 6418.
Prime Factorization of 6417
| 3 | 6417 |
| 3 | 2139 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 6417 are 3, 23,31. Prime factorization of 6417 in exponential form is:
6417 = 32×231×311
Prime Factorization of 6418
| 2 | 6418 |
| 3209 | 3209 |
| 1 |
Prime factors of 6418 are 2,3209. Prime factorization of 6418 in exponential form is:
6418 = 21×32091
Now multiplying the highest exponent prime factors to calculate the LCM of 6417 and 6418.
LCM(6417,6418) = 21×32×231×311×32091
LCM(6417,6418) = 41184306
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417
Factors of 6418
List of positive integer factors of 6418 that divides 6418 without a remainder.
1, 2, 3209, 6418
Least Common Multiple of 6417 and 6418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6417 and 6418, than apply into the LCM equation.
GCF(6417,6418) = 1
LCM(6417,6418) = ( 6417 × 6418) / 1
LCM(6417,6418) = 41184306 / 1
LCM(6417,6418) = 41184306
Properties of LCM 6417 and 6418
(i) The LCM of 6418 and 6417 is associative
LCM of 6417 and 6418 = LCM of 6418 and 6417
Related Least Common Multiples of 6417
Related Least Common Multiples of 6418
Frequently Asked Questions on LCM of 6417 and 6418
1. What is the LCM of 6417 and 6418?
Answer: LCM of 6417 and 6418 is 41184306.
2. What are the Factors of 6417?
Answer: Factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417. There are 12 integers that are factors of 6417. The greatest factor of 6417 is 6417.
3. What are the Factors of 6418?
Answer: Factors of 6418 are 1, 2, 3209, 6418. There are 4 integers that are factors of 6418. The greatest factor of 6418 is 6418.
4. How to Find the LCM of 6417 and 6418?
Answer:
Least Common Multiple of 6417 and 6418 = 41184306
Step 1: Find the prime factorization of 6417
6417 = 3 x 3 x 23 x 31
Step 2: Find the prime factorization of 6418
6418 = 2 x 3209
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41184306 = 2 x 3 x 3 x 23 x 31 x 3209
Step 4: Therefore, the least common multiple of 6417 and 6418 is 41184306.