Least Common Multiple (LCM) of 165 and 41
The least common multiple (LCM) of 165 and 41 is 6765.
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 41?
First, calculate the GCD of 165 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 41 = 4 remainder 1 |
| 2 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 31 | 4278 |
| 159 and 111 | 5883 |
| 37 and 51 | 1887 |
| 158 and 172 | 13588 |
| 65 and 180 | 2340 |