Least Common Multiple (LCM) of 48 and 163
The least common multiple (LCM) of 48 and 163 is 7824.
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 48 and 163?
First, calculate the GCD of 48 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 163 = 0 remainder 48 |
| 2 | 163 ÷ 48 = 3 remainder 19 |
| 3 | 48 ÷ 19 = 2 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 34 | 6426 |
| 157 and 165 | 25905 |
| 50 and 134 | 3350 |
| 18 and 99 | 198 |
| 127 and 10 | 1270 |