Least Common Multiple (LCM) of 181 and 148
The least common multiple (LCM) of 181 and 148 is 26788.
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 148?
First, calculate the GCD of 181 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 148 = 1 remainder 33 |
| 2 | 148 ÷ 33 = 4 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 126 | 2394 |
| 109 and 189 | 20601 |
| 199 and 112 | 22288 |
| 195 and 169 | 2535 |
| 144 and 163 | 23472 |