Least Common Multiple (LCM) of 161 and 165
The least common multiple (LCM) of 161 and 165 is 26565.
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 161 and 165?
First, calculate the GCD of 161 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 165 = 0 remainder 161 |
| 2 | 165 ÷ 161 = 1 remainder 4 |
| 3 | 161 ÷ 4 = 40 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 34 | 3978 |
| 35 and 178 | 6230 |
| 122 and 89 | 10858 |
| 199 and 181 | 36019 |
| 29 and 153 | 4437 |