Least Common Multiple (LCM) of 159 and 163
The least common multiple (LCM) of 159 and 163 is 25917.
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 159 and 163?
First, calculate the GCD of 159 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 163 = 0 remainder 159 |
| 2 | 163 ÷ 159 = 1 remainder 4 |
| 3 | 159 ÷ 4 = 39 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 14 | 1232 |
| 58 and 172 | 4988 |
| 144 and 91 | 13104 |
| 157 and 75 | 11775 |
| 148 and 137 | 20276 |