Least Common Multiple of 8449 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 8449 and 8455 the smallest integer that is 71436295 that is divisible by both numbers.
Least Common Multiple (LCM) of 8449 and 8455 is 71436295.
LCM(8449,8455) = 71436295
LCM of 8449 and 8455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8449 and 8455 by Prime method
- Least Common Multiple of 8449 and 8455 with GCF Formula
LCM of 8449 and 8455 is 71436295
Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8455. First we will calculate the prime factors of 8449 and 8455.
Prime Factorization of 8449
| 7 | 8449 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 8449 are 7, 17,71. Prime factorization of 8449 in exponential form is:
8449 = 71×171×711
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 8449 and 8455.
LCM(8449,8455) = 51×71×171×191×711×891
LCM(8449,8455) = 71436295
Factors of 8449
List of positive integer factors of 8449 that divides 8449 without a remainder.
1, 7, 17, 71, 119, 497, 1207, 8449
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 8449 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 8449 and 8455, than apply into the LCM equation.
GCF(8449,8455) = 1
LCM(8449,8455) = ( 8449 × 8455) / 1
LCM(8449,8455) = 71436295 / 1
LCM(8449,8455) = 71436295
Properties of LCM 8449 and 8455
(i) The LCM of 8455 and 8449 is associative
LCM of 8449 and 8455 = LCM of 8455 and 8449
Related Least Common Multiples of 8449
Related Least Common Multiples of 8455
Frequently Asked Questions on LCM of 8449 and 8455
1. What is the LCM of 8449 and 8455?
Answer: LCM of 8449 and 8455 is 71436295.
2. What are the Factors of 8449?
Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.
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 8449 and 8455?
Answer:
Least Common Multiple of 8449 and 8455 = 71436295
Step 1: Find the prime factorization of 8449
8449 = 7 x 17 x 71
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 = 71436295 = 5 x 7 x 17 x 19 x 71 x 89
Step 4: Therefore, the least common multiple of 8449 and 8455 is 71436295.