Least Common Multiple (LCM) of 164 and 82
The least common multiple (LCM) of 164 and 82 is 164.
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 164 and 82?
First, calculate the GCD of 164 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 82 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 35 | 175 |
| 12 and 133 | 1596 |
| 17 and 68 | 68 |
| 95 and 198 | 18810 |
| 131 and 82 | 10742 |