Least Common Multiple (LCM) of 165 and 182
The least common multiple (LCM) of 165 and 182 is 30030.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 165 and 182?
First, calculate the GCD of 165 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 182 = 0 remainder 165 |
| 2 | 182 ÷ 165 = 1 remainder 17 |
| 3 | 165 ÷ 17 = 9 remainder 12 |
| 4 | 17 ÷ 12 = 1 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 138 | 11454 |
| 120 and 102 | 2040 |
| 188 and 184 | 8648 |
| 42 and 136 | 2856 |
| 17 and 22 | 374 |