Least Common Multiple of 8441 and 8446
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8441 and 8446 the smallest integer that is 71292686 that is divisible by both numbers.
Least Common Multiple (LCM) of 8441 and 8446 is 71292686.
LCM(8441,8446) = 71292686
LCM of 8441 and 8446
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8441 and 8446 by Prime method
- Least Common Multiple of 8441 and 8446 with GCF Formula
LCM of 8441 and 8446 is 71292686
Least common multiple can be found by multiplying the highest exponent prime factors of 8441 and 8446. First we will calculate the prime factors of 8441 and 8446.
Prime Factorization of 8441
| 23 | 8441 |
| 367 | 367 |
| 1 |
Prime factors of 8441 are 23,367. Prime factorization of 8441 in exponential form is:
8441 = 231×3671
Prime Factorization of 8446
| 2 | 8446 |
| 41 | 4223 |
| 103 | 103 |
| 1 |
Prime factors of 8446 are 2, 41,103. Prime factorization of 8446 in exponential form is:
8446 = 21×411×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8441 and 8446.
LCM(8441,8446) = 21×231×411×1031×3671
LCM(8441,8446) = 71292686
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1, 23, 367, 8441
Factors of 8446
List of positive integer factors of 8446 that divides 8446 without a remainder.
1, 2, 41, 82, 103, 206, 4223, 8446
Least Common Multiple of 8441 and 8446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8441 and 8446, than apply into the LCM equation.
GCF(8441,8446) = 1
LCM(8441,8446) = ( 8441 × 8446) / 1
LCM(8441,8446) = 71292686 / 1
LCM(8441,8446) = 71292686
Properties of LCM 8441 and 8446
(i) The LCM of 8446 and 8441 is associative
LCM of 8441 and 8446 = LCM of 8446 and 8441
Related Least Common Multiples of 8441
Related Least Common Multiples of 8446
Frequently Asked Questions on LCM of 8441 and 8446
1. What is the LCM of 8441 and 8446?
Answer: LCM of 8441 and 8446 is 71292686.
2. What are the Factors of 8441?
Answer: Factors of 8441 are 1, 23, 367, 8441. There are 4 integers that are factors of 8441. The greatest factor of 8441 is 8441.
3. What are the Factors of 8446?
Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.
4. How to Find the LCM of 8441 and 8446?
Answer:
Least Common Multiple of 8441 and 8446 = 71292686
Step 1: Find the prime factorization of 8441
8441 = 23 x 367
Step 2: Find the prime factorization of 8446
8446 = 2 x 41 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71292686 = 2 x 23 x 41 x 103 x 367
Step 4: Therefore, the least common multiple of 8441 and 8446 is 71292686.