Least Common Multiple (LCM) of 162 and 18
The least common multiple (LCM) of 162 and 18 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 18?
First, calculate the GCD of 162 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 18 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 131 | 16768 |
| 177 and 90 | 5310 |
| 104 and 122 | 6344 |
| 50 and 75 | 150 |
| 162 and 72 | 648 |