Least Common Multiple (LCM) of 66 and 163
The least common multiple (LCM) of 66 and 163 is 10758.
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 66 and 163?
First, calculate the GCD of 66 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 163 = 0 remainder 66 |
| 2 | 163 ÷ 66 = 2 remainder 31 |
| 3 | 66 ÷ 31 = 2 remainder 4 |
| 4 | 31 ÷ 4 = 7 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 132 | 396 |
| 52 and 85 | 4420 |
| 93 and 119 | 11067 |
| 157 and 46 | 7222 |
| 142 and 37 | 5254 |