Least Common Multiple (LCM) of 181 and 14
The least common multiple (LCM) of 181 and 14 is 2534.
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 181 and 14?
First, calculate the GCD of 181 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 14 = 12 remainder 13 |
| 2 | 14 ÷ 13 = 1 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 177 | 32037 |
| 153 and 123 | 6273 |
| 43 and 127 | 5461 |
| 106 and 188 | 9964 |
| 54 and 88 | 2376 |