Least Common Multiple (LCM) of 111 and 161
The least common multiple (LCM) of 111 and 161 is 17871.
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 111 and 161?
First, calculate the GCD of 111 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 161 = 0 remainder 111 |
| 2 | 161 ÷ 111 = 1 remainder 50 |
| 3 | 111 ÷ 50 = 2 remainder 11 |
| 4 | 50 ÷ 11 = 4 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 131 | 10611 |
| 53 and 157 | 8321 |
| 193 and 40 | 7720 |
| 33 and 179 | 5907 |
| 24 and 85 | 2040 |