Least Common Multiple (LCM) of 112 and 161
The least common multiple (LCM) of 112 and 161 is 2576.
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 112 and 161?
First, calculate the GCD of 112 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 161 = 0 remainder 112 |
| 2 | 161 ÷ 112 = 1 remainder 49 |
| 3 | 112 ÷ 49 = 2 remainder 14 |
| 4 | 49 ÷ 14 = 3 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 58 | 5104 |
| 166 and 50 | 4150 |
| 42 and 138 | 966 |
| 22 and 199 | 4378 |
| 20 and 156 | 780 |