Least Common Multiple (LCM) of 161 and 112
The least common multiple (LCM) of 161 and 112 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 161 and 112?
First, calculate the GCD of 161 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 112 = 1 remainder 49 |
| 2 | 112 ÷ 49 = 2 remainder 14 |
| 3 | 49 ÷ 14 = 3 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 136 | 25160 |
| 165 and 37 | 6105 |
| 49 and 83 | 4067 |
| 18 and 107 | 1926 |
| 114 and 120 | 2280 |