Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4161 and 4165 the smallest integer that is 17330565 that is divisible by both numbers.
Least Common Multiple (LCM) of 4161 and 4165 is 17330565.
LCM(4161,4165) = 17330565
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 4161 and 4165. First we will calculate the prime factors of 4161 and 4165.
Prime Factorization of 4161
3 | 4161 |
19 | 1387 |
73 | 73 |
1 |
Prime factors of 4161 are 3, 19,73. Prime factorization of 4161 in exponential form is:
4161 = 31×191×731
Prime Factorization of 4165
5 | 4165 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 4165 are 5, 7,17. Prime factorization of 4165 in exponential form is:
4165 = 51×72×171
Now multiplying the highest exponent prime factors to calculate the LCM of 4161 and 4165.
LCM(4161,4165) = 31×51×72×171×191×731
LCM(4161,4165) = 17330565
Factors of 4161
List of positive integer factors of 4161 that divides 4161 without a remainder.
1, 3, 19, 57, 73, 219, 1387, 4161
Factors of 4165
List of positive integer factors of 4165 that divides 4165 without a remainder.
1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4161 and 4165, than apply into the LCM equation.
GCF(4161,4165) = 1
LCM(4161,4165) = ( 4161 × 4165) / 1
LCM(4161,4165) = 17330565 / 1
LCM(4161,4165) = 17330565
(i) The LCM of 4165 and 4161 is associative
LCM of 4161 and 4165 = LCM of 4165 and 4161
1. What is the LCM of 4161 and 4165?
Answer: LCM of 4161 and 4165 is 17330565.
2. What are the Factors of 4161?
Answer: Factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161. There are 8 integers that are factors of 4161. The greatest factor of 4161 is 4161.
3. What are the Factors of 4165?
Answer: Factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. There are 12 integers that are factors of 4165. The greatest factor of 4165 is 4165.
4. How to Find the LCM of 4161 and 4165?
Answer:
Least Common Multiple of 4161 and 4165 = 17330565
Step 1: Find the prime factorization of 4161
4161 = 3 x 19 x 73
Step 2: Find the prime factorization of 4165
4165 = 5 x 7 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17330565 = 3 x 5 x 7 x 7 x 17 x 19 x 73
Step 4: Therefore, the least common multiple of 4161 and 4165 is 17330565.