Least Common Multiple (LCM) of 181 and 146
The least common multiple (LCM) of 181 and 146 is 26426.
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 146?
First, calculate the GCD of 181 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 146 = 1 remainder 35 |
| 2 | 146 ÷ 35 = 4 remainder 6 |
| 3 | 35 ÷ 6 = 5 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 127 | 15240 |
| 81 and 121 | 9801 |
| 40 and 48 | 240 |
| 179 and 38 | 6802 |
| 29 and 27 | 783 |