Least Common Multiple of 7161 and 7165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7161 and 7165 the smallest integer that is 51308565 that is divisible by both numbers.
Least Common Multiple (LCM) of 7161 and 7165 is 51308565.
LCM(7161,7165) = 51308565
LCM of 7161 and 7165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7161 and 7165 by Prime method
- Least Common Multiple of 7161 and 7165 with GCF Formula
LCM of 7161 and 7165 is 51308565
Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7165. First we will calculate the prime factors of 7161 and 7165.
Prime Factorization of 7161
| 3 | 7161 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 7161 are 3, 7, 11,31. Prime factorization of 7161 in exponential form is:
7161 = 31×71×111×311
Prime Factorization of 7165
| 5 | 7165 |
| 1433 | 1433 |
| 1 |
Prime factors of 7165 are 5,1433. Prime factorization of 7165 in exponential form is:
7165 = 51×14331
Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7165.
LCM(7161,7165) = 31×51×71×111×311×14331
LCM(7161,7165) = 51308565
Factors of 7161
List of positive integer factors of 7161 that divides 7161 without a remainder.
1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
Factors of 7165
List of positive integer factors of 7165 that divides 7165 without a remainder.
1, 5, 1433, 7165
Least Common Multiple of 7161 and 7165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7161 and 7165, than apply into the LCM equation.
GCF(7161,7165) = 1
LCM(7161,7165) = ( 7161 × 7165) / 1
LCM(7161,7165) = 51308565 / 1
LCM(7161,7165) = 51308565
Properties of LCM 7161 and 7165
(i) The LCM of 7165 and 7161 is associative
LCM of 7161 and 7165 = LCM of 7165 and 7161
Related Least Common Multiples of 7161
Related Least Common Multiples of 7165
Frequently Asked Questions on LCM of 7161 and 7165
1. What is the LCM of 7161 and 7165?
Answer: LCM of 7161 and 7165 is 51308565.
2. What are the Factors of 7161?
Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.
3. What are the Factors of 7165?
Answer: Factors of 7165 are 1, 5, 1433, 7165. There are 4 integers that are factors of 7165. The greatest factor of 7165 is 7165.
4. How to Find the LCM of 7161 and 7165?
Answer:
Least Common Multiple of 7161 and 7165 = 51308565
Step 1: Find the prime factorization of 7161
7161 = 3 x 7 x 11 x 31
Step 2: Find the prime factorization of 7165
7165 = 5 x 1433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51308565 = 3 x 5 x 7 x 11 x 31 x 1433
Step 4: Therefore, the least common multiple of 7161 and 7165 is 51308565.