Least Common Multiple (LCM) of 162 and 81
The least common multiple (LCM) of 162 and 81 is 162.
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 81?
First, calculate the GCD of 162 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 81 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 110 | 6270 |
| 196 and 90 | 8820 |
| 133 and 164 | 21812 |
| 87 and 49 | 4263 |
| 138 and 175 | 24150 |