Least Common Multiple of 8162 and 8169
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 8169 the smallest integer that is 9525054 that is divisible by both numbers.
Least Common Multiple (LCM) of 8162 and 8169 is 9525054.
LCM(8162,8169) = 9525054
LCM of 8162 and 8169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8162 and 8169 by Prime method
- Least Common Multiple of 8162 and 8169 with GCF Formula
LCM of 8162 and 8169 is 9525054
Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8169. First we will calculate the prime factors of 8162 and 8169.
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 8169
| 3 | 8169 |
| 7 | 2723 |
| 389 | 389 |
| 1 |
Prime factors of 8169 are 3, 7,389. Prime factorization of 8169 in exponential form is:
8169 = 31×71×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8169.
LCM(8162,8169) = 21×31×71×111×531×3891
LCM(8162,8169) = 9525054
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 8169
List of positive integer factors of 8169 that divides 8169 without a remainder.
1, 3, 7, 21, 389, 1167, 2723, 8169
Least Common Multiple of 8162 and 8169 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 8169, than apply into the LCM equation.
GCF(8162,8169) = 7
LCM(8162,8169) = ( 8162 × 8169) / 7
LCM(8162,8169) = 66675378 / 7
LCM(8162,8169) = 9525054
Properties of LCM 8162 and 8169
(i) The LCM of 8169 and 8162 is associative
LCM of 8162 and 8169 = LCM of 8169 and 8162
Related Least Common Multiples of 8162
Related Least Common Multiples of 8169
Frequently Asked Questions on LCM of 8162 and 8169
1. What is the LCM of 8162 and 8169?
Answer: LCM of 8162 and 8169 is 9525054.
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 8169?
Answer: Factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169. There are 8 integers that are factors of 8169. The greatest factor of 8169 is 8169.
4. How to Find the LCM of 8162 and 8169?
Answer:
Least Common Multiple of 8162 and 8169 = 9525054
Step 1: Find the prime factorization of 8162
8162 = 2 x 7 x 11 x 53
Step 2: Find the prime factorization of 8169
8169 = 3 x 7 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9525054 = 2 x 3 x 7 x 11 x 53 x 389
Step 4: Therefore, the least common multiple of 8162 and 8169 is 9525054.