Least Common Multiple (LCM) of 168 and 173
The least common multiple (LCM) of 168 and 173 is 29064.
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 168 and 173?
First, calculate the GCD of 168 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 173 = 0 remainder 168 |
| 2 | 173 ÷ 168 = 1 remainder 5 |
| 3 | 168 ÷ 5 = 33 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 82 | 2214 |
| 186 and 131 | 24366 |
| 174 and 118 | 10266 |
| 200 and 159 | 31800 |
| 189 and 105 | 945 |