Least Common Multiple (LCM) of 16 and 181
The least common multiple (LCM) of 16 and 181 is 2896.
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 16 and 181?
First, calculate the GCD of 16 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 181 = 0 remainder 16 |
| 2 | 181 ÷ 16 = 11 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 32 | 1504 |
| 137 and 98 | 13426 |
| 62 and 117 | 7254 |
| 112 and 144 | 1008 |
| 22 and 104 | 1144 |