Least Common Multiple (LCM) of 161 and 61
The least common multiple (LCM) of 161 and 61 is 9821.
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 61?
First, calculate the GCD of 161 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 61 = 2 remainder 39 |
| 2 | 61 ÷ 39 = 1 remainder 22 |
| 3 | 39 ÷ 22 = 1 remainder 17 |
| 4 | 22 ÷ 17 = 1 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 105 | 20055 |
| 183 and 193 | 35319 |
| 108 and 96 | 864 |
| 93 and 43 | 3999 |
| 16 and 15 | 240 |