Least Common Multiple (LCM) of 161 and 66
The least common multiple (LCM) of 161 and 66 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 161 and 66?
First, calculate the GCD of 161 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 66 = 2 remainder 29 |
| 2 | 66 ÷ 29 = 2 remainder 8 |
| 3 | 29 ÷ 8 = 3 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 59 | 10502 |
| 150 and 51 | 2550 |
| 82 and 135 | 11070 |
| 67 and 126 | 8442 |
| 77 and 122 | 9394 |