Least Common Multiple (LCM) of 163 and 66
The least common multiple (LCM) of 163 and 66 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 163 and 66?
First, calculate the GCD of 163 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 66 = 2 remainder 31 |
| 2 | 66 ÷ 31 = 2 remainder 4 |
| 3 | 31 ÷ 4 = 7 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 69 | 10281 |
| 122 and 61 | 122 |
| 109 and 12 | 1308 |
| 110 and 88 | 440 |
| 163 and 102 | 16626 |