Least Common Multiple (LCM) of 181 and 66
The least common multiple (LCM) of 181 and 66 is 11946.
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 181 and 66?
First, calculate the GCD of 181 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 66 = 2 remainder 49 |
| 2 | 66 ÷ 49 = 1 remainder 17 |
| 3 | 49 ÷ 17 = 2 remainder 15 |
| 4 | 17 ÷ 15 = 1 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 17 | 3162 |
| 100 and 124 | 3100 |
| 128 and 136 | 2176 |
| 119 and 35 | 595 |
| 116 and 49 | 5684 |