Least Common Multiple (LCM) of 166 and 132
The least common multiple (LCM) of 166 and 132 is 10956.
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 132?
First, calculate the GCD of 166 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 132 = 1 remainder 34 |
| 2 | 132 ÷ 34 = 3 remainder 30 |
| 3 | 34 ÷ 30 = 1 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 147 | 16023 |
| 110 and 46 | 2530 |
| 176 and 183 | 32208 |
| 193 and 107 | 20651 |
| 147 and 22 | 3234 |