Least Common Multiple of 8473 and 8477
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 8477 the smallest integer that is 71825621 that is divisible by both numbers.
Least Common Multiple (LCM) of 8473 and 8477 is 71825621.
LCM(8473,8477) = 71825621
LCM of 8473 and 8477
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8473 and 8477 by Prime method
- Least Common Multiple of 8473 and 8477 with GCF Formula
LCM of 8473 and 8477 is 71825621
Least common multiple can be found by multiplying the highest exponent prime factors of 8473 and 8477. First we will calculate the prime factors of 8473 and 8477.
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 8477
| 7 | 8477 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 8477 are 7,173. Prime factorization of 8477 in exponential form is:
8477 = 72×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 8473 and 8477.
LCM(8473,8477) = 72×371×1731×2291
LCM(8473,8477) = 71825621
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1, 37, 229, 8473
Factors of 8477
List of positive integer factors of 8477 that divides 8477 without a remainder.
1, 7, 49, 173, 1211, 8477
Least Common Multiple of 8473 and 8477 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 8477, than apply into the LCM equation.
GCF(8473,8477) = 1
LCM(8473,8477) = ( 8473 × 8477) / 1
LCM(8473,8477) = 71825621 / 1
LCM(8473,8477) = 71825621
Properties of LCM 8473 and 8477
(i) The LCM of 8477 and 8473 is associative
LCM of 8473 and 8477 = LCM of 8477 and 8473
Related Least Common Multiples of 8473
Related Least Common Multiples of 8477
Frequently Asked Questions on LCM of 8473 and 8477
1. What is the LCM of 8473 and 8477?
Answer: LCM of 8473 and 8477 is 71825621.
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 8477?
Answer: Factors of 8477 are 1, 7, 49, 173, 1211, 8477. There are 6 integers that are factors of 8477. The greatest factor of 8477 is 8477.
4. How to Find the LCM of 8473 and 8477?
Answer:
Least Common Multiple of 8473 and 8477 = 71825621
Step 1: Find the prime factorization of 8473
8473 = 37 x 229
Step 2: Find the prime factorization of 8477
8477 = 7 x 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71825621 = 7 x 7 x 37 x 173 x 229
Step 4: Therefore, the least common multiple of 8473 and 8477 is 71825621.