Least Common Multiple (LCM) of 66 and 161
The least common multiple (LCM) of 66 and 161 is 10626.
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 161?
First, calculate the GCD of 66 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 161 = 0 remainder 66 |
| 2 | 161 ÷ 66 = 2 remainder 29 |
| 3 | 66 ÷ 29 = 2 remainder 8 |
| 4 | 29 ÷ 8 = 3 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 17 | 2363 |
| 149 and 37 | 5513 |
| 117 and 114 | 4446 |
| 83 and 53 | 4399 |
| 166 and 131 | 21746 |