Least Common Multiple (LCM) of 20 and 163
The least common multiple (LCM) of 20 and 163 is 3260.
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 20 and 163?
First, calculate the GCD of 20 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 163 = 0 remainder 20 |
| 2 | 163 ÷ 20 = 8 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 75 | 2175 |
| 52 and 63 | 3276 |
| 37 and 176 | 6512 |
| 134 and 176 | 11792 |
| 114 and 158 | 9006 |