Least Common Multiple (LCM) of 163 and 199
The least common multiple (LCM) of 163 and 199 is 32437.
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 163 and 199?
First, calculate the GCD of 163 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 199 = 0 remainder 163 |
| 2 | 199 ÷ 163 = 1 remainder 36 |
| 3 | 163 ÷ 36 = 4 remainder 19 |
| 4 | 36 ÷ 19 = 1 remainder 17 |
| 5 | 19 ÷ 17 = 1 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 125 | 9625 |
| 115 and 105 | 2415 |
| 71 and 100 | 7100 |
| 26 and 102 | 1326 |
| 192 and 62 | 5952 |