Least Common Multiple (LCM) of 170 and 161
The least common multiple (LCM) of 170 and 161 is 27370.
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 170 and 161?
First, calculate the GCD of 170 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 161 = 1 remainder 9 |
| 2 | 161 ÷ 9 = 17 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 200 | 26600 |
| 193 and 66 | 12738 |
| 167 and 95 | 15865 |
| 186 and 150 | 4650 |
| 104 and 70 | 3640 |