Least Common Multiple of 8449 and 8453
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 8453 the smallest integer that is 71419397 that is divisible by both numbers.
Least Common Multiple (LCM) of 8449 and 8453 is 71419397.
LCM(8449,8453) = 71419397
LCM of 8449 and 8453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8449 and 8453 by Prime method
- Least Common Multiple of 8449 and 8453 with GCF Formula
LCM of 8449 and 8453 is 71419397
Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8453. First we will calculate the prime factors of 8449 and 8453.
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 8453
| 79 | 8453 |
| 107 | 107 |
| 1 |
Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:
8453 = 791×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8449 and 8453.
LCM(8449,8453) = 71×171×711×791×1071
LCM(8449,8453) = 71419397
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 8453
List of positive integer factors of 8453 that divides 8453 without a remainder.
1, 79, 107, 8453
Least Common Multiple of 8449 and 8453 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 8453, than apply into the LCM equation.
GCF(8449,8453) = 1
LCM(8449,8453) = ( 8449 × 8453) / 1
LCM(8449,8453) = 71419397 / 1
LCM(8449,8453) = 71419397
Properties of LCM 8449 and 8453
(i) The LCM of 8453 and 8449 is associative
LCM of 8449 and 8453 = LCM of 8453 and 8449
Related Least Common Multiples of 8449
Related Least Common Multiples of 8453
Frequently Asked Questions on LCM of 8449 and 8453
1. What is the LCM of 8449 and 8453?
Answer: LCM of 8449 and 8453 is 71419397.
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 8453?
Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.
4. How to Find the LCM of 8449 and 8453?
Answer:
Least Common Multiple of 8449 and 8453 = 71419397
Step 1: Find the prime factorization of 8449
8449 = 7 x 17 x 71
Step 2: Find the prime factorization of 8453
8453 = 79 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71419397 = 7 x 17 x 71 x 79 x 107
Step 4: Therefore, the least common multiple of 8449 and 8453 is 71419397.