Least Common Multiple of 8447 and 8455
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8447 and 8455 the smallest integer that is 71419385 that is divisible by both numbers.
Least Common Multiple (LCM) of 8447 and 8455 is 71419385.
LCM(8447,8455) = 71419385
LCM of 8447 and 8455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8447 and 8455 by Prime method
- Least Common Multiple of 8447 and 8455 with GCF Formula
LCM of 8447 and 8455 is 71419385
Least common multiple can be found by multiplying the highest exponent prime factors of 8447 and 8455. First we will calculate the prime factors of 8447 and 8455.
Prime Factorization of 8447
| 8447 | 8447 |
| 1 |
Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:
8447 = 84471
Prime Factorization of 8455
| 5 | 8455 |
| 19 | 1691 |
| 89 | 89 |
| 1 |
Prime factors of 8455 are 5, 19,89. Prime factorization of 8455 in exponential form is:
8455 = 51×191×891
Now multiplying the highest exponent prime factors to calculate the LCM of 8447 and 8455.
LCM(8447,8455) = 51×191×891×84471
LCM(8447,8455) = 71419385
Factors of 8447
List of positive integer factors of 8447 that divides 8447 without a remainder.
1, 8447
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1, 5, 19, 89, 95, 445, 1691, 8455
Least Common Multiple of 8447 and 8455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8447 and 8455, than apply into the LCM equation.
GCF(8447,8455) = 1
LCM(8447,8455) = ( 8447 × 8455) / 1
LCM(8447,8455) = 71419385 / 1
LCM(8447,8455) = 71419385
Properties of LCM 8447 and 8455
(i) The LCM of 8455 and 8447 is associative
LCM of 8447 and 8455 = LCM of 8455 and 8447
Related Least Common Multiples of 8447
Related Least Common Multiples of 8455
Frequently Asked Questions on LCM of 8447 and 8455
1. What is the LCM of 8447 and 8455?
Answer: LCM of 8447 and 8455 is 71419385.
2. 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.
3. What are the Factors of 8455?
Answer: Factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455. There are 8 integers that are factors of 8455. The greatest factor of 8455 is 8455.
4. How to Find the LCM of 8447 and 8455?
Answer:
Least Common Multiple of 8447 and 8455 = 71419385
Step 1: Find the prime factorization of 8447
8447 = 8447
Step 2: Find the prime factorization of 8455
8455 = 5 x 19 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71419385 = 5 x 19 x 89 x 8447
Step 4: Therefore, the least common multiple of 8447 and 8455 is 71419385.