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 |
|---|---|
| 143 and 122 | 17446 |
| 90 and 59 | 5310 |
| 127 and 159 | 20193 |
| 117 and 61 | 7137 |
| 32 and 178 | 2848 |