Least Common Multiple of 8461 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 8461 and 8466 the smallest integer that is 71630826 that is divisible by both numbers.
Least Common Multiple (LCM) of 8461 and 8466 is 71630826.
LCM(8461,8466) = 71630826
LCM of 8461 and 8466
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8461 and 8466 by Prime method
- Least Common Multiple of 8461 and 8466 with GCF Formula
LCM of 8461 and 8466 is 71630826
Least common multiple can be found by multiplying the highest exponent prime factors of 8461 and 8466. First we will calculate the prime factors of 8461 and 8466.
Prime Factorization of 8461
| 8461 | 8461 |
| 1 |
Prime factors of 8461 are 8461. Prime factorization of 8461 in exponential form is:
8461 = 84611
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 8461 and 8466.
LCM(8461,8466) = 21×31×171×831×84611
LCM(8461,8466) = 71630826
Factors of 8461
List of positive integer factors of 8461 that divides 8461 without a remainder.
1, 8461
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 8461 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 8461 and 8466, than apply into the LCM equation.
GCF(8461,8466) = 1
LCM(8461,8466) = ( 8461 × 8466) / 1
LCM(8461,8466) = 71630826 / 1
LCM(8461,8466) = 71630826
Properties of LCM 8461 and 8466
(i) The LCM of 8466 and 8461 is associative
LCM of 8461 and 8466 = LCM of 8466 and 8461
Related Least Common Multiples of 8461
Related Least Common Multiples of 8466
Frequently Asked Questions on LCM of 8461 and 8466
1. What is the LCM of 8461 and 8466?
Answer: LCM of 8461 and 8466 is 71630826.
2. What are the Factors of 8461?
Answer: Factors of 8461 are 1, 8461. There are 2 integers that are factors of 8461. The greatest factor of 8461 is 8461.
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 8461 and 8466?
Answer:
Least Common Multiple of 8461 and 8466 = 71630826
Step 1: Find the prime factorization of 8461
8461 = 8461
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 = 71630826 = 2 x 3 x 17 x 83 x 8461
Step 4: Therefore, the least common multiple of 8461 and 8466 is 71630826.