Least Common Multiple (LCM) of 163 and 187
The least common multiple (LCM) of 163 and 187 is 30481.
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 187?
First, calculate the GCD of 163 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 187 = 0 remainder 163 |
| 2 | 187 ÷ 163 = 1 remainder 24 |
| 3 | 163 ÷ 24 = 6 remainder 19 |
| 4 | 24 ÷ 19 = 1 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 18 | 396 |
| 199 and 106 | 21094 |
| 123 and 50 | 6150 |
| 26 and 32 | 416 |
| 13 and 83 | 1079 |