Least Common Multiple (LCM) of 165 and 181
The least common multiple (LCM) of 165 and 181 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 165 and 181?
First, calculate the GCD of 165 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 181 = 0 remainder 165 |
| 2 | 181 ÷ 165 = 1 remainder 16 |
| 3 | 165 ÷ 16 = 10 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 129 | 2193 |
| 113 and 23 | 2599 |
| 69 and 182 | 12558 |
| 200 and 57 | 11400 |
| 61 and 148 | 9028 |