Least Common Multiple of 8165 and 8173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8165 and 8173 the smallest integer that is 66732545 that is divisible by both numbers.
Least Common Multiple (LCM) of 8165 and 8173 is 66732545.
LCM(8165,8173) = 66732545
LCM of 8165 and 8173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8165 and 8173 by Prime method
- Least Common Multiple of 8165 and 8173 with GCF Formula
LCM of 8165 and 8173 is 66732545
Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8173. First we will calculate the prime factors of 8165 and 8173.
Prime Factorization of 8165
| 5 | 8165 |
| 23 | 1633 |
| 71 | 71 |
| 1 |
Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:
8165 = 51×231×711
Prime Factorization of 8173
| 11 | 8173 |
| 743 | 743 |
| 1 |
Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:
8173 = 111×7431
Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8173.
LCM(8165,8173) = 51×111×231×711×7431
LCM(8165,8173) = 66732545
Factors of 8165
List of positive integer factors of 8165 that divides 8165 without a remainder.
1, 5, 23, 71, 115, 355, 1633, 8165
Factors of 8173
List of positive integer factors of 8173 that divides 8173 without a remainder.
1, 11, 743, 8173
Least Common Multiple of 8165 and 8173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8165 and 8173, than apply into the LCM equation.
GCF(8165,8173) = 1
LCM(8165,8173) = ( 8165 × 8173) / 1
LCM(8165,8173) = 66732545 / 1
LCM(8165,8173) = 66732545
Properties of LCM 8165 and 8173
(i) The LCM of 8173 and 8165 is associative
LCM of 8165 and 8173 = LCM of 8173 and 8165
Related Least Common Multiples of 8165
Related Least Common Multiples of 8173
Frequently Asked Questions on LCM of 8165 and 8173
1. What is the LCM of 8165 and 8173?
Answer: LCM of 8165 and 8173 is 66732545.
2. What are the Factors of 8165?
Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.
3. What are the Factors of 8173?
Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.
4. How to Find the LCM of 8165 and 8173?
Answer:
Least Common Multiple of 8165 and 8173 = 66732545
Step 1: Find the prime factorization of 8165
8165 = 5 x 23 x 71
Step 2: Find the prime factorization of 8173
8173 = 11 x 743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66732545 = 5 x 11 x 23 x 71 x 743
Step 4: Therefore, the least common multiple of 8165 and 8173 is 66732545.