Least Common Multiple (LCM) of 148 and 193
The least common multiple (LCM) of 148 and 193 is 28564.
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 148 and 193?
First, calculate the GCD of 148 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 193 = 0 remainder 148 |
| 2 | 193 ÷ 148 = 1 remainder 45 |
| 3 | 148 ÷ 45 = 3 remainder 13 |
| 4 | 45 ÷ 13 = 3 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 154 | 14784 |
| 50 and 175 | 350 |
| 167 and 46 | 7682 |
| 18 and 60 | 180 |
| 102 and 133 | 13566 |