Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8163 and 8169 the smallest integer that is 22227849 that is divisible by both numbers.
Least Common Multiple (LCM) of 8163 and 8169 is 22227849.
LCM(8163,8169) = 22227849
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8163 and 8169. First we will calculate the prime factors of 8163 and 8169.
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
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 8163 and 8169.
LCM(8163,8169) = 32×71×3891×9071
LCM(8163,8169) = 22227849
Factors of 8163
List of positive integer factors of 8163 that divides 8163 without a remainder.
1, 3, 9, 907, 2721, 8163
Factors of 8169
List of positive integer factors of 8169 that divides 8169 without a remainder.
1, 3, 7, 21, 389, 1167, 2723, 8169
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8163 and 8169, than apply into the LCM equation.
GCF(8163,8169) = 3
LCM(8163,8169) = ( 8163 × 8169) / 3
LCM(8163,8169) = 66683547 / 3
LCM(8163,8169) = 22227849
(i) The LCM of 8169 and 8163 is associative
LCM of 8163 and 8169 = LCM of 8169 and 8163
1. What is the LCM of 8163 and 8169?
Answer: LCM of 8163 and 8169 is 22227849.
2. 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.
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 8163 and 8169?
Answer:
Least Common Multiple of 8163 and 8169 = 22227849
Step 1: Find the prime factorization of 8163
8163 = 3 x 3 x 907
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 = 22227849 = 3 x 3 x 7 x 389 x 907
Step 4: Therefore, the least common multiple of 8163 and 8169 is 22227849.