Least Common Multiple (LCM) of 173 and 163
The least common multiple (LCM) of 173 and 163 is 28199.
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 173 and 163?
First, calculate the GCD of 173 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 163 = 1 remainder 10 |
| 2 | 163 ÷ 10 = 16 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 37 | 111 |
| 101 and 50 | 5050 |
| 191 and 101 | 19291 |
| 13 and 13 | 13 |
| 182 and 11 | 2002 |