Least Common Multiple (LCM) of 146 and 193
The least common multiple (LCM) of 146 and 193 is 28178.
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 193?
First, calculate the GCD of 146 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 193 = 0 remainder 146 |
| 2 | 193 ÷ 146 = 1 remainder 47 |
| 3 | 146 ÷ 47 = 3 remainder 5 |
| 4 | 47 ÷ 5 = 9 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 93 | 4557 |
| 136 and 165 | 22440 |
| 84 and 21 | 84 |
| 187 and 168 | 31416 |
| 55 and 195 | 2145 |