Least Common Multiple of 8478 and 8483
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8478 and 8483 the smallest integer that is 71918874 that is divisible by both numbers.
Least Common Multiple (LCM) of 8478 and 8483 is 71918874.
LCM(8478,8483) = 71918874
LCM of 8478 and 8483
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8478 and 8483 by Prime method
- Least Common Multiple of 8478 and 8483 with GCF Formula
LCM of 8478 and 8483 is 71918874
Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8483. First we will calculate the prime factors of 8478 and 8483.
Prime Factorization of 8478
| 2 | 8478 |
| 3 | 4239 |
| 3 | 1413 |
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 8478 are 2, 3,157. Prime factorization of 8478 in exponential form is:
8478 = 21×33×1571
Prime Factorization of 8483
| 17 | 8483 |
| 499 | 499 |
| 1 |
Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:
8483 = 171×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8483.
LCM(8478,8483) = 21×33×171×1571×4991
LCM(8478,8483) = 71918874
Factors of 8478
List of positive integer factors of 8478 that divides 8478 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
Factors of 8483
List of positive integer factors of 8483 that divides 8483 without a remainder.
1, 17, 499, 8483
Least Common Multiple of 8478 and 8483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8483, than apply into the LCM equation.
GCF(8478,8483) = 1
LCM(8478,8483) = ( 8478 × 8483) / 1
LCM(8478,8483) = 71918874 / 1
LCM(8478,8483) = 71918874
Properties of LCM 8478 and 8483
(i) The LCM of 8483 and 8478 is associative
LCM of 8478 and 8483 = LCM of 8483 and 8478
Related Least Common Multiples of 8478
Related Least Common Multiples of 8483
Frequently Asked Questions on LCM of 8478 and 8483
1. What is the LCM of 8478 and 8483?
Answer: LCM of 8478 and 8483 is 71918874.
2. What are the Factors of 8478?
Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.
3. What are the Factors of 8483?
Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.
4. How to Find the LCM of 8478 and 8483?
Answer:
Least Common Multiple of 8478 and 8483 = 71918874
Step 1: Find the prime factorization of 8478
8478 = 2 x 3 x 3 x 3 x 157
Step 2: Find the prime factorization of 8483
8483 = 17 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71918874 = 2 x 3 x 3 x 3 x 17 x 157 x 499
Step 4: Therefore, the least common multiple of 8478 and 8483 is 71918874.