Least Common Multiple of 8463 and 8465
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 8465 the smallest integer that is 71639295 that is divisible by both numbers.
Least Common Multiple (LCM) of 8463 and 8465 is 71639295.
LCM(8463,8465) = 71639295
LCM of 8463 and 8465
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8463 and 8465 by Prime method
- Least Common Multiple of 8463 and 8465 with GCF Formula
LCM of 8463 and 8465 is 71639295
Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8465. First we will calculate the prime factors of 8463 and 8465.
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 8465
| 5 | 8465 |
| 1693 | 1693 |
| 1 |
Prime factors of 8465 are 5,1693. Prime factorization of 8465 in exponential form is:
8465 = 51×16931
Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8465.
LCM(8463,8465) = 31×51×71×131×311×16931
LCM(8463,8465) = 71639295
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 8465
List of positive integer factors of 8465 that divides 8465 without a remainder.
1, 5, 1693, 8465
Least Common Multiple of 8463 and 8465 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 8465, than apply into the LCM equation.
GCF(8463,8465) = 1
LCM(8463,8465) = ( 8463 × 8465) / 1
LCM(8463,8465) = 71639295 / 1
LCM(8463,8465) = 71639295
Properties of LCM 8463 and 8465
(i) The LCM of 8465 and 8463 is associative
LCM of 8463 and 8465 = LCM of 8465 and 8463
Related Least Common Multiples of 8463
Related Least Common Multiples of 8465
Frequently Asked Questions on LCM of 8463 and 8465
1. What is the LCM of 8463 and 8465?
Answer: LCM of 8463 and 8465 is 71639295.
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 8465?
Answer: Factors of 8465 are 1, 5, 1693, 8465. There are 4 integers that are factors of 8465. The greatest factor of 8465 is 8465.
4. How to Find the LCM of 8463 and 8465?
Answer:
Least Common Multiple of 8463 and 8465 = 71639295
Step 1: Find the prime factorization of 8463
8463 = 3 x 7 x 13 x 31
Step 2: Find the prime factorization of 8465
8465 = 5 x 1693
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71639295 = 3 x 5 x 7 x 13 x 31 x 1693
Step 4: Therefore, the least common multiple of 8463 and 8465 is 71639295.