Least Common Multiple (LCM) of 11 and 163
The least common multiple (LCM) of 11 and 163 is 1793.
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 11 and 163?
First, calculate the GCD of 11 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 163 = 0 remainder 11 |
| 2 | 163 ÷ 11 = 14 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 48 | 624 |
| 14 and 16 | 112 |
| 80 and 191 | 15280 |
| 172 and 168 | 7224 |
| 137 and 74 | 10138 |