Least Common Multiple (LCM) of 32 and 171
The least common multiple (LCM) of 32 and 171 is 5472.
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 32 and 171?
First, calculate the GCD of 32 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 171 = 0 remainder 32 |
| 2 | 171 ÷ 32 = 5 remainder 11 |
| 3 | 32 ÷ 11 = 2 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 181 | 30770 |
| 117 and 86 | 10062 |
| 48 and 48 | 48 |
| 57 and 40 | 2280 |
| 189 and 183 | 11529 |