Least Common Multiple (LCM) of 18 and 163
The least common multiple (LCM) of 18 and 163 is 2934.
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 18 and 163?
First, calculate the GCD of 18 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 163 = 0 remainder 18 |
| 2 | 163 ÷ 18 = 9 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 153 | 17136 |
| 150 and 76 | 5700 |
| 149 and 131 | 19519 |
| 130 and 38 | 2470 |
| 107 and 116 | 12412 |