Least Common Multiple of 8165 and 8169
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 8169 the smallest integer that is 66699885 that is divisible by both numbers.
Least Common Multiple (LCM) of 8165 and 8169 is 66699885.
LCM(8165,8169) = 66699885
LCM of 8165 and 8169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8165 and 8169 by Prime method
- Least Common Multiple of 8165 and 8169 with GCF Formula
LCM of 8165 and 8169 is 66699885
Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8169. First we will calculate the prime factors of 8165 and 8169.
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 8169
| 3 | 8169 |
| 7 | 2723 |
| 389 | 389 |
| 1 |
Prime factors of 8169 are 3, 7,389. Prime factorization of 8169 in exponential form is:
8169 = 31×71×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8169.
LCM(8165,8169) = 31×51×71×231×711×3891
LCM(8165,8169) = 66699885
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 8169
List of positive integer factors of 8169 that divides 8169 without a remainder.
1, 3, 7, 21, 389, 1167, 2723, 8169
Least Common Multiple of 8165 and 8169 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 8169, than apply into the LCM equation.
GCF(8165,8169) = 1
LCM(8165,8169) = ( 8165 × 8169) / 1
LCM(8165,8169) = 66699885 / 1
LCM(8165,8169) = 66699885
Properties of LCM 8165 and 8169
(i) The LCM of 8169 and 8165 is associative
LCM of 8165 and 8169 = LCM of 8169 and 8165
Related Least Common Multiples of 8165
Related Least Common Multiples of 8169
Frequently Asked Questions on LCM of 8165 and 8169
1. What is the LCM of 8165 and 8169?
Answer: LCM of 8165 and 8169 is 66699885.
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 8169?
Answer: Factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169. There are 8 integers that are factors of 8169. The greatest factor of 8169 is 8169.
4. How to Find the LCM of 8165 and 8169?
Answer:
Least Common Multiple of 8165 and 8169 = 66699885
Step 1: Find the prime factorization of 8165
8165 = 5 x 23 x 71
Step 2: Find the prime factorization of 8169
8169 = 3 x 7 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66699885 = 3 x 5 x 7 x 23 x 71 x 389
Step 4: Therefore, the least common multiple of 8165 and 8169 is 66699885.