Least Common Multiple (LCM) of 171 and 173
The least common multiple (LCM) of 171 and 173 is 29583.
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 171 and 173?
First, calculate the GCD of 171 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 173 = 0 remainder 171 |
| 2 | 173 ÷ 171 = 1 remainder 2 |
| 3 | 171 ÷ 2 = 85 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 19 | 2147 |
| 80 and 121 | 9680 |
| 151 and 163 | 24613 |
| 185 and 164 | 30340 |
| 144 and 192 | 576 |