Least Common Multiple (LCM) of 181 and 165
The least common multiple (LCM) of 181 and 165 is 29865.
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 181 and 165?
First, calculate the GCD of 181 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 165 = 1 remainder 16 |
| 2 | 165 ÷ 16 = 10 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 42 | 5502 |
| 183 and 42 | 2562 |
| 135 and 146 | 19710 |
| 45 and 62 | 2790 |
| 180 and 144 | 720 |