Least Common Multiple of 7161 and 7163
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 7163 the smallest integer that is 51294243 that is divisible by both numbers.
Least Common Multiple (LCM) of 7161 and 7163 is 51294243.
LCM(7161,7163) = 51294243
LCM of 7161 and 7163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7161 and 7163 by Prime method
- Least Common Multiple of 7161 and 7163 with GCF Formula
LCM of 7161 and 7163 is 51294243
Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7163. First we will calculate the prime factors of 7161 and 7163.
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 7163
| 13 | 7163 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 7163 are 13, 19,29. Prime factorization of 7163 in exponential form is:
7163 = 131×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7163.
LCM(7161,7163) = 31×71×111×131×191×291×311
LCM(7161,7163) = 51294243
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 7163
List of positive integer factors of 7163 that divides 7163 without a remainder.
1, 13, 19, 29, 247, 377, 551, 7163
Least Common Multiple of 7161 and 7163 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 7163, than apply into the LCM equation.
GCF(7161,7163) = 1
LCM(7161,7163) = ( 7161 × 7163) / 1
LCM(7161,7163) = 51294243 / 1
LCM(7161,7163) = 51294243
Properties of LCM 7161 and 7163
(i) The LCM of 7163 and 7161 is associative
LCM of 7161 and 7163 = LCM of 7163 and 7161
Related Least Common Multiples of 7161
Related Least Common Multiples of 7163
Frequently Asked Questions on LCM of 7161 and 7163
1. What is the LCM of 7161 and 7163?
Answer: LCM of 7161 and 7163 is 51294243.
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 7163?
Answer: Factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163. There are 8 integers that are factors of 7163. The greatest factor of 7163 is 7163.
4. How to Find the LCM of 7161 and 7163?
Answer:
Least Common Multiple of 7161 and 7163 = 51294243
Step 1: Find the prime factorization of 7161
7161 = 3 x 7 x 11 x 31
Step 2: Find the prime factorization of 7163
7163 = 13 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51294243 = 3 x 7 x 11 x 13 x 19 x 29 x 31
Step 4: Therefore, the least common multiple of 7161 and 7163 is 51294243.