Least Common Multiple of 6417 and 6425
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 6425 the smallest integer that is 41229225 that is divisible by both numbers.
Least Common Multiple (LCM) of 6417 and 6425 is 41229225.
LCM(6417,6425) = 41229225
LCM of 6417 and 6425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6417 and 6425 by Prime method
- Least Common Multiple of 6417 and 6425 with GCF Formula
LCM of 6417 and 6425 is 41229225
Least common multiple can be found by multiplying the highest exponent prime factors of 6417 and 6425. First we will calculate the prime factors of 6417 and 6425.
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 6425
| 5 | 6425 |
| 5 | 1285 |
| 257 | 257 |
| 1 |
Prime factors of 6425 are 5,257. Prime factorization of 6425 in exponential form is:
6425 = 52×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 6417 and 6425.
LCM(6417,6425) = 32×52×231×311×2571
LCM(6417,6425) = 41229225
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 6425
List of positive integer factors of 6425 that divides 6425 without a remainder.
1, 5, 25, 257, 1285, 6425
Least Common Multiple of 6417 and 6425 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 6425, than apply into the LCM equation.
GCF(6417,6425) = 1
LCM(6417,6425) = ( 6417 × 6425) / 1
LCM(6417,6425) = 41229225 / 1
LCM(6417,6425) = 41229225
Properties of LCM 6417 and 6425
(i) The LCM of 6425 and 6417 is associative
LCM of 6417 and 6425 = LCM of 6425 and 6417
Related Least Common Multiples of 6417
Related Least Common Multiples of 6425
Frequently Asked Questions on LCM of 6417 and 6425
1. What is the LCM of 6417 and 6425?
Answer: LCM of 6417 and 6425 is 41229225.
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 6425?
Answer: Factors of 6425 are 1, 5, 25, 257, 1285, 6425. There are 6 integers that are factors of 6425. The greatest factor of 6425 is 6425.
4. How to Find the LCM of 6417 and 6425?
Answer:
Least Common Multiple of 6417 and 6425 = 41229225
Step 1: Find the prime factorization of 6417
6417 = 3 x 3 x 23 x 31
Step 2: Find the prime factorization of 6425
6425 = 5 x 5 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41229225 = 3 x 3 x 5 x 5 x 23 x 31 x 257
Step 4: Therefore, the least common multiple of 6417 and 6425 is 41229225.