Least Common Multiple of 8157 and 8162
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8157 and 8162 the smallest integer that is 66577434 that is divisible by both numbers.
Least Common Multiple (LCM) of 8157 and 8162 is 66577434.
LCM(8157,8162) = 66577434
LCM of 8157 and 8162
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8157 and 8162 by Prime method
- Least Common Multiple of 8157 and 8162 with GCF Formula
LCM of 8157 and 8162 is 66577434
Least common multiple can be found by multiplying the highest exponent prime factors of 8157 and 8162. First we will calculate the prime factors of 8157 and 8162.
Prime Factorization of 8157
| 3 | 8157 |
| 2719 | 2719 |
| 1 |
Prime factors of 8157 are 3,2719. Prime factorization of 8157 in exponential form is:
8157 = 31×27191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8157 and 8162.
LCM(8157,8162) = 21×31×71×111×531×27191
LCM(8157,8162) = 66577434
Factors of 8157
List of positive integer factors of 8157 that divides 8157 without a remainder.
1, 3, 2719, 8157
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
Least Common Multiple of 8157 and 8162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8157 and 8162, than apply into the LCM equation.
GCF(8157,8162) = 1
LCM(8157,8162) = ( 8157 × 8162) / 1
LCM(8157,8162) = 66577434 / 1
LCM(8157,8162) = 66577434
Properties of LCM 8157 and 8162
(i) The LCM of 8162 and 8157 is associative
LCM of 8157 and 8162 = LCM of 8162 and 8157
Related Least Common Multiples of 8157
Related Least Common Multiples of 8162
Frequently Asked Questions on LCM of 8157 and 8162
1. What is the LCM of 8157 and 8162?
Answer: LCM of 8157 and 8162 is 66577434.
2. What are the Factors of 8157?
Answer: Factors of 8157 are 1, 3, 2719, 8157. There are 4 integers that are factors of 8157. The greatest factor of 8157 is 8157.
3. 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.
4. How to Find the LCM of 8157 and 8162?
Answer:
Least Common Multiple of 8157 and 8162 = 66577434
Step 1: Find the prime factorization of 8157
8157 = 3 x 2719
Step 2: Find the prime factorization of 8162
8162 = 2 x 7 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66577434 = 2 x 3 x 7 x 11 x 53 x 2719
Step 4: Therefore, the least common multiple of 8157 and 8162 is 66577434.