Least Common Multiple (LCM) of 166 and 48
The least common multiple (LCM) of 166 and 48 is 3984.
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 48?
First, calculate the GCD of 166 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 48 = 3 remainder 22 |
| 2 | 48 ÷ 22 = 2 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 19 | 1938 |
| 128 and 20 | 640 |
| 75 and 78 | 1950 |
| 177 and 159 | 9381 |
| 117 and 96 | 3744 |