Least Common Multiple (LCM) of 146 and 115
The least common multiple (LCM) of 146 and 115 is 16790.
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 146 and 115?
First, calculate the GCD of 146 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 115 = 1 remainder 31 |
| 2 | 115 ÷ 31 = 3 remainder 22 |
| 3 | 31 ÷ 22 = 1 remainder 9 |
| 4 | 22 ÷ 9 = 2 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 10 | 270 |
| 153 and 181 | 27693 |
| 91 and 101 | 9191 |
| 33 and 32 | 1056 |
| 189 and 180 | 3780 |