Least Common Multiple (LCM) of 163 and 177
The least common multiple (LCM) of 163 and 177 is 28851.
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 177?
First, calculate the GCD of 163 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 177 = 0 remainder 163 |
| 2 | 177 ÷ 163 = 1 remainder 14 |
| 3 | 163 ÷ 14 = 11 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 187 | 187 |
| 34 and 33 | 1122 |
| 177 and 191 | 33807 |
| 97 and 13 | 1261 |
| 11 and 96 | 1056 |