Least Common Multiple (LCM) of 171 and 162
The least common multiple (LCM) of 171 and 162 is 3078.
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 162?
First, calculate the GCD of 171 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 162 = 1 remainder 9 |
| 2 | 162 ÷ 9 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 63 | 11655 |
| 26 and 78 | 78 |
| 10 and 32 | 160 |
| 31 and 190 | 5890 |
| 134 and 169 | 22646 |