Least Common Multiple (LCM) of 163 and 114
The least common multiple (LCM) of 163 and 114 is 18582.
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 163 and 114?
First, calculate the GCD of 163 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 114 = 1 remainder 49 |
| 2 | 114 ÷ 49 = 2 remainder 16 |
| 3 | 49 ÷ 16 = 3 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 108 | 540 |
| 138 and 58 | 4002 |
| 30 and 179 | 5370 |
| 11 and 38 | 418 |
| 199 and 112 | 22288 |