Least Common Multiple of 8162 and 8167
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8162 and 8167 the smallest integer that is 66659054 that is divisible by both numbers.
Least Common Multiple (LCM) of 8162 and 8167 is 66659054.
LCM(8162,8167) = 66659054
LCM of 8162 and 8167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8162 and 8167 by Prime method
- Least Common Multiple of 8162 and 8167 with GCF Formula
LCM of 8162 and 8167 is 66659054
Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8167. First we will calculate the prime factors of 8162 and 8167.
Prime Factorization of 8162
| 2 | 8162 |
| 7 | 4081 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 8162 are 2, 7, 11,53. Prime factorization of 8162 in exponential form is:
8162 = 21×71×111×531
Prime Factorization of 8167
| 8167 | 8167 |
| 1 |
Prime factors of 8167 are 8167. Prime factorization of 8167 in exponential form is:
8167 = 81671
Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8167.
LCM(8162,8167) = 21×71×111×531×81671
LCM(8162,8167) = 66659054
Factors of 8162
List of positive integer factors of 8162 that divides 8162 without a remainder.
1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162
Factors of 8167
List of positive integer factors of 8167 that divides 8167 without a remainder.
1, 8167
Least Common Multiple of 8162 and 8167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8162 and 8167, than apply into the LCM equation.
GCF(8162,8167) = 1
LCM(8162,8167) = ( 8162 × 8167) / 1
LCM(8162,8167) = 66659054 / 1
LCM(8162,8167) = 66659054
Properties of LCM 8162 and 8167
(i) The LCM of 8167 and 8162 is associative
LCM of 8162 and 8167 = LCM of 8167 and 8162
Related Least Common Multiples of 8162
Related Least Common Multiples of 8167
Frequently Asked Questions on LCM of 8162 and 8167
1. What is the LCM of 8162 and 8167?
Answer: LCM of 8162 and 8167 is 66659054.
2. What are the Factors of 8162?
Answer: Factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162. There are 16 integers that are factors of 8162. The greatest factor of 8162 is 8162.
3. What are the Factors of 8167?
Answer: Factors of 8167 are 1, 8167. There are 2 integers that are factors of 8167. The greatest factor of 8167 is 8167.
4. How to Find the LCM of 8162 and 8167?
Answer:
Least Common Multiple of 8162 and 8167 = 66659054
Step 1: Find the prime factorization of 8162
8162 = 2 x 7 x 11 x 53
Step 2: Find the prime factorization of 8167
8167 = 8167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66659054 = 2 x 7 x 11 x 53 x 8167
Step 4: Therefore, the least common multiple of 8162 and 8167 is 66659054.