Least Common Multiple (LCM) of 166 and 83
The least common multiple (LCM) of 166 and 83 is 166.
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 83?
First, calculate the GCD of 166 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 83 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 33 | 3300 |
| 71 and 25 | 1775 |
| 138 and 193 | 26634 |
| 24 and 45 | 360 |
| 175 and 112 | 2800 |