Least Common Multiple (LCM) of 162 and 82
The least common multiple (LCM) of 162 and 82 is 6642.
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 162 and 82?
First, calculate the GCD of 162 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 82 = 1 remainder 80 |
| 2 | 82 ÷ 80 = 1 remainder 2 |
| 3 | 80 ÷ 2 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 31 | 3968 |
| 87 and 84 | 2436 |
| 96 and 188 | 4512 |
| 133 and 38 | 266 |
| 74 and 96 | 3552 |