Least Common Multiple of 8439 and 8447
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8439 and 8447 the smallest integer that is 71284233 that is divisible by both numbers.
Least Common Multiple (LCM) of 8439 and 8447 is 71284233.
LCM(8439,8447) = 71284233
LCM of 8439 and 8447
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8439 and 8447 by Prime method
- Least Common Multiple of 8439 and 8447 with GCF Formula
LCM of 8439 and 8447 is 71284233
Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8447. First we will calculate the prime factors of 8439 and 8447.
Prime Factorization of 8439
| 3 | 8439 |
| 29 | 2813 |
| 97 | 97 |
| 1 |
Prime factors of 8439 are 3, 29,97. Prime factorization of 8439 in exponential form is:
8439 = 31×291×971
Prime Factorization of 8447
| 8447 | 8447 |
| 1 |
Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:
8447 = 84471
Now multiplying the highest exponent prime factors to calculate the LCM of 8439 and 8447.
LCM(8439,8447) = 31×291×971×84471
LCM(8439,8447) = 71284233
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1, 3, 29, 87, 97, 291, 2813, 8439
Factors of 8447
List of positive integer factors of 8447 that divides 8447 without a remainder.
1, 8447
Least Common Multiple of 8439 and 8447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8439 and 8447, than apply into the LCM equation.
GCF(8439,8447) = 1
LCM(8439,8447) = ( 8439 × 8447) / 1
LCM(8439,8447) = 71284233 / 1
LCM(8439,8447) = 71284233
Properties of LCM 8439 and 8447
(i) The LCM of 8447 and 8439 is associative
LCM of 8439 and 8447 = LCM of 8447 and 8439
Related Least Common Multiples of 8439
Related Least Common Multiples of 8447
Frequently Asked Questions on LCM of 8439 and 8447
1. What is the LCM of 8439 and 8447?
Answer: LCM of 8439 and 8447 is 71284233.
2. What are the Factors of 8439?
Answer: Factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439. There are 8 integers that are factors of 8439. The greatest factor of 8439 is 8439.
3. What are the Factors of 8447?
Answer: Factors of 8447 are 1, 8447. There are 2 integers that are factors of 8447. The greatest factor of 8447 is 8447.
4. How to Find the LCM of 8439 and 8447?
Answer:
Least Common Multiple of 8439 and 8447 = 71284233
Step 1: Find the prime factorization of 8439
8439 = 3 x 29 x 97
Step 2: Find the prime factorization of 8447
8447 = 8447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71284233 = 3 x 29 x 97 x 8447
Step 4: Therefore, the least common multiple of 8439 and 8447 is 71284233.