Least Common Multiple of 7161 and 7166
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 7166 the smallest integer that is 51315726 that is divisible by both numbers.
Least Common Multiple (LCM) of 7161 and 7166 is 51315726.
LCM(7161,7166) = 51315726
LCM of 7161 and 7166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7161 and 7166 by Prime method
- Least Common Multiple of 7161 and 7166 with GCF Formula
LCM of 7161 and 7166 is 51315726
Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7166. First we will calculate the prime factors of 7161 and 7166.
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 7166
| 2 | 7166 |
| 3583 | 3583 |
| 1 |
Prime factors of 7166 are 2,3583. Prime factorization of 7166 in exponential form is:
7166 = 21×35831
Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7166.
LCM(7161,7166) = 21×31×71×111×311×35831
LCM(7161,7166) = 51315726
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 7166
List of positive integer factors of 7166 that divides 7166 without a remainder.
1, 2, 3583, 7166
Least Common Multiple of 7161 and 7166 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 7166, than apply into the LCM equation.
GCF(7161,7166) = 1
LCM(7161,7166) = ( 7161 × 7166) / 1
LCM(7161,7166) = 51315726 / 1
LCM(7161,7166) = 51315726
Properties of LCM 7161 and 7166
(i) The LCM of 7166 and 7161 is associative
LCM of 7161 and 7166 = LCM of 7166 and 7161
Related Least Common Multiples of 7161
Related Least Common Multiples of 7166
Frequently Asked Questions on LCM of 7161 and 7166
1. What is the LCM of 7161 and 7166?
Answer: LCM of 7161 and 7166 is 51315726.
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 7166?
Answer: Factors of 7166 are 1, 2, 3583, 7166. There are 4 integers that are factors of 7166. The greatest factor of 7166 is 7166.
4. How to Find the LCM of 7161 and 7166?
Answer:
Least Common Multiple of 7161 and 7166 = 51315726
Step 1: Find the prime factorization of 7161
7161 = 3 x 7 x 11 x 31
Step 2: Find the prime factorization of 7166
7166 = 2 x 3583
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51315726 = 2 x 3 x 7 x 11 x 31 x 3583
Step 4: Therefore, the least common multiple of 7161 and 7166 is 51315726.