Least Common Multiple of 6418 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 6418 and 6425 the smallest integer that is 41235650 that is divisible by both numbers.
Least Common Multiple (LCM) of 6418 and 6425 is 41235650.
LCM(6418,6425) = 41235650
LCM of 6418 and 6425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6418 and 6425 by Prime method
- Least Common Multiple of 6418 and 6425 with GCF Formula
LCM of 6418 and 6425 is 41235650
Least common multiple can be found by multiplying the highest exponent prime factors of 6418 and 6425. First we will calculate the prime factors of 6418 and 6425.
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
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 6418 and 6425.
LCM(6418,6425) = 21×52×2571×32091
LCM(6418,6425) = 41235650
Factors of 6418
List of positive integer factors of 6418 that divides 6418 without a remainder.
1, 2, 3209, 6418
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 6418 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 6418 and 6425, than apply into the LCM equation.
GCF(6418,6425) = 1
LCM(6418,6425) = ( 6418 × 6425) / 1
LCM(6418,6425) = 41235650 / 1
LCM(6418,6425) = 41235650
Properties of LCM 6418 and 6425
(i) The LCM of 6425 and 6418 is associative
LCM of 6418 and 6425 = LCM of 6425 and 6418
Related Least Common Multiples of 6418
Related Least Common Multiples of 6425
Frequently Asked Questions on LCM of 6418 and 6425
1. What is the LCM of 6418 and 6425?
Answer: LCM of 6418 and 6425 is 41235650.
2. 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.
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 6418 and 6425?
Answer:
Least Common Multiple of 6418 and 6425 = 41235650
Step 1: Find the prime factorization of 6418
6418 = 2 x 3209
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 = 41235650 = 2 x 5 x 5 x 257 x 3209
Step 4: Therefore, the least common multiple of 6418 and 6425 is 41235650.