Least Common Multiple (LCM) of 172 and 173
The least common multiple (LCM) of 172 and 173 is 29756.
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 172 and 173?
First, calculate the GCD of 172 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 173 = 0 remainder 172 |
| 2 | 173 ÷ 172 = 1 remainder 1 |
| 3 | 172 ÷ 1 = 172 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 172 | 34228 |
| 82 and 165 | 13530 |
| 128 and 84 | 2688 |
| 187 and 67 | 12529 |
| 193 and 60 | 11580 |