Least Common Multiple (LCM) of 166 and 165
The least common multiple (LCM) of 166 and 165 is 27390.
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 166 and 165?
First, calculate the GCD of 166 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 165 = 1 remainder 1 |
| 2 | 165 ÷ 1 = 165 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 71 | 10650 |
| 68 and 40 | 680 |
| 91 and 122 | 11102 |
| 168 and 117 | 6552 |
| 42 and 140 | 420 |