Least Common Multiple (LCM) of 66 and 166
The least common multiple (LCM) of 66 and 166 is 5478.
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 166?
First, calculate the GCD of 66 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 166 = 0 remainder 66 |
| 2 | 166 ÷ 66 = 2 remainder 34 |
| 3 | 66 ÷ 34 = 1 remainder 32 |
| 4 | 34 ÷ 32 = 1 remainder 2 |
| 5 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 31 | 5580 |
| 132 and 120 | 1320 |
| 187 and 99 | 1683 |
| 132 and 198 | 396 |
| 12 and 174 | 348 |