Least Common Multiple (LCM) of 165 and 171
The least common multiple (LCM) of 165 and 171 is 9405.
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 171?
First, calculate the GCD of 165 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 171 = 0 remainder 165 |
| 2 | 171 ÷ 165 = 1 remainder 6 |
| 3 | 165 ÷ 6 = 27 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 85 | 10795 |
| 141 and 42 | 1974 |
| 123 and 84 | 3444 |
| 72 and 115 | 8280 |
| 80 and 30 | 240 |