Least Common Multiple (LCM) of 27 and 166
The least common multiple (LCM) of 27 and 166 is 4482.
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 27 and 166?
First, calculate the GCD of 27 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 166 = 0 remainder 27 |
| 2 | 166 ÷ 27 = 6 remainder 4 |
| 3 | 27 ÷ 4 = 6 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 40 | 360 |
| 178 and 177 | 31506 |
| 81 and 61 | 4941 |
| 97 and 89 | 8633 |
| 74 and 105 | 7770 |