Least Common Multiple of 8463 and 8466
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8463 and 8466 the smallest integer that is 23882586 that is divisible by both numbers.
Least Common Multiple (LCM) of 8463 and 8466 is 23882586.
LCM(8463,8466) = 23882586
LCM of 8463 and 8466
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8463 and 8466 by Prime method
- Least Common Multiple of 8463 and 8466 with GCF Formula
LCM of 8463 and 8466 is 23882586
Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8466. First we will calculate the prime factors of 8463 and 8466.
Prime Factorization of 8463
| 3 | 8463 |
| 7 | 2821 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 8463 are 3, 7, 13,31. Prime factorization of 8463 in exponential form is:
8463 = 31×71×131×311
Prime Factorization of 8466
| 2 | 8466 |
| 3 | 4233 |
| 17 | 1411 |
| 83 | 83 |
| 1 |
Prime factors of 8466 are 2, 3, 17,83. Prime factorization of 8466 in exponential form is:
8466 = 21×31×171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8466.
LCM(8463,8466) = 21×31×71×131×171×311×831
LCM(8463,8466) = 23882586
Factors of 8463
List of positive integer factors of 8463 that divides 8463 without a remainder.
1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
Factors of 8466
List of positive integer factors of 8466 that divides 8466 without a remainder.
1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
Least Common Multiple of 8463 and 8466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8463 and 8466, than apply into the LCM equation.
GCF(8463,8466) = 3
LCM(8463,8466) = ( 8463 × 8466) / 3
LCM(8463,8466) = 71647758 / 3
LCM(8463,8466) = 23882586
Properties of LCM 8463 and 8466
(i) The LCM of 8466 and 8463 is associative
LCM of 8463 and 8466 = LCM of 8466 and 8463
Related Least Common Multiples of 8463
Related Least Common Multiples of 8466
Frequently Asked Questions on LCM of 8463 and 8466
1. What is the LCM of 8463 and 8466?
Answer: LCM of 8463 and 8466 is 23882586.
2. What are the Factors of 8463?
Answer: Factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463. There are 16 integers that are factors of 8463. The greatest factor of 8463 is 8463.
3. What are the Factors of 8466?
Answer: Factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466. There are 16 integers that are factors of 8466. The greatest factor of 8466 is 8466.
4. How to Find the LCM of 8463 and 8466?
Answer:
Least Common Multiple of 8463 and 8466 = 23882586
Step 1: Find the prime factorization of 8463
8463 = 3 x 7 x 13 x 31
Step 2: Find the prime factorization of 8466
8466 = 2 x 3 x 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23882586 = 2 x 3 x 7 x 13 x 17 x 31 x 83
Step 4: Therefore, the least common multiple of 8463 and 8466 is 23882586.