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 |
|---|---|
| 90 and 45 | 90 |
| 55 and 178 | 9790 |
| 116 and 119 | 13804 |
| 57 and 121 | 6897 |
| 58 and 150 | 4350 |