Least Common Multiple (LCM) of 114 and 163
The least common multiple (LCM) of 114 and 163 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 114 and 163?
First, calculate the GCD of 114 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 163 = 0 remainder 114 |
| 2 | 163 ÷ 114 = 1 remainder 49 |
| 3 | 114 ÷ 49 = 2 remainder 16 |
| 4 | 49 ÷ 16 = 3 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 165 | 1320 |
| 24 and 184 | 552 |
| 154 and 133 | 2926 |
| 76 and 139 | 10564 |
| 166 and 179 | 29714 |