Least Common Multiple of 8473 and 8481
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8473 and 8481 the smallest integer that is 71859513 that is divisible by both numbers.
Least Common Multiple (LCM) of 8473 and 8481 is 71859513.
LCM(8473,8481) = 71859513
LCM of 8473 and 8481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8473 and 8481 by Prime method
- Least Common Multiple of 8473 and 8481 with GCF Formula
LCM of 8473 and 8481 is 71859513
Least common multiple can be found by multiplying the highest exponent prime factors of 8473 and 8481. First we will calculate the prime factors of 8473 and 8481.
Prime Factorization of 8473
| 37 | 8473 |
| 229 | 229 |
| 1 |
Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:
8473 = 371×2291
Prime Factorization of 8481
| 3 | 8481 |
| 11 | 2827 |
| 257 | 257 |
| 1 |
Prime factors of 8481 are 3, 11,257. Prime factorization of 8481 in exponential form is:
8481 = 31×111×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 8473 and 8481.
LCM(8473,8481) = 31×111×371×2291×2571
LCM(8473,8481) = 71859513
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1, 37, 229, 8473
Factors of 8481
List of positive integer factors of 8481 that divides 8481 without a remainder.
1, 3, 11, 33, 257, 771, 2827, 8481
Least Common Multiple of 8473 and 8481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8473 and 8481, than apply into the LCM equation.
GCF(8473,8481) = 1
LCM(8473,8481) = ( 8473 × 8481) / 1
LCM(8473,8481) = 71859513 / 1
LCM(8473,8481) = 71859513
Properties of LCM 8473 and 8481
(i) The LCM of 8481 and 8473 is associative
LCM of 8473 and 8481 = LCM of 8481 and 8473
Related Least Common Multiples of 8473
Related Least Common Multiples of 8481
Frequently Asked Questions on LCM of 8473 and 8481
1. What is the LCM of 8473 and 8481?
Answer: LCM of 8473 and 8481 is 71859513.
2. What are the Factors of 8473?
Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.
3. What are the Factors of 8481?
Answer: Factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481. There are 8 integers that are factors of 8481. The greatest factor of 8481 is 8481.
4. How to Find the LCM of 8473 and 8481?
Answer:
Least Common Multiple of 8473 and 8481 = 71859513
Step 1: Find the prime factorization of 8473
8473 = 37 x 229
Step 2: Find the prime factorization of 8481
8481 = 3 x 11 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71859513 = 3 x 11 x 37 x 229 x 257
Step 4: Therefore, the least common multiple of 8473 and 8481 is 71859513.