Least Common Multiple of 8155 and 8163
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8155 and 8163 the smallest integer that is 66569265 that is divisible by both numbers.
Least Common Multiple (LCM) of 8155 and 8163 is 66569265.
LCM(8155,8163) = 66569265
LCM of 8155 and 8163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8155 and 8163 by Prime method
- Least Common Multiple of 8155 and 8163 with GCF Formula
LCM of 8155 and 8163 is 66569265
Least common multiple can be found by multiplying the highest exponent prime factors of 8155 and 8163. First we will calculate the prime factors of 8155 and 8163.
Prime Factorization of 8155
| 5 | 8155 |
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 8155 are 5, 7,233. Prime factorization of 8155 in exponential form is:
8155 = 51×71×2331
Prime Factorization of 8163
| 3 | 8163 |
| 3 | 2721 |
| 907 | 907 |
| 1 |
Prime factors of 8163 are 3,907. Prime factorization of 8163 in exponential form is:
8163 = 32×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 8155 and 8163.
LCM(8155,8163) = 32×51×71×2331×9071
LCM(8155,8163) = 66569265
Factors of 8155
List of positive integer factors of 8155 that divides 8155 without a remainder.
1, 5, 7, 35, 233, 1165, 1631, 8155
Factors of 8163
List of positive integer factors of 8163 that divides 8163 without a remainder.
1, 3, 9, 907, 2721, 8163
Least Common Multiple of 8155 and 8163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8155 and 8163, than apply into the LCM equation.
GCF(8155,8163) = 1
LCM(8155,8163) = ( 8155 × 8163) / 1
LCM(8155,8163) = 66569265 / 1
LCM(8155,8163) = 66569265
Properties of LCM 8155 and 8163
(i) The LCM of 8163 and 8155 is associative
LCM of 8155 and 8163 = LCM of 8163 and 8155
Related Least Common Multiples of 8155
Related Least Common Multiples of 8163
Frequently Asked Questions on LCM of 8155 and 8163
1. What is the LCM of 8155 and 8163?
Answer: LCM of 8155 and 8163 is 66569265.
2. What are the Factors of 8155?
Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.
3. What are the Factors of 8163?
Answer: Factors of 8163 are 1, 3, 9, 907, 2721, 8163. There are 6 integers that are factors of 8163. The greatest factor of 8163 is 8163.
4. How to Find the LCM of 8155 and 8163?
Answer:
Least Common Multiple of 8155 and 8163 = 66569265
Step 1: Find the prime factorization of 8155
8155 = 5 x 7 x 233
Step 2: Find the prime factorization of 8163
8163 = 3 x 3 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66569265 = 3 x 3 x 5 x 7 x 233 x 907
Step 4: Therefore, the least common multiple of 8155 and 8163 is 66569265.