Least Common Multiple (LCM) of 192 and 146
The least common multiple (LCM) of 192 and 146 is 14016.
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 192 and 146?
First, calculate the GCD of 192 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 146 = 1 remainder 46 |
| 2 | 146 ÷ 46 = 3 remainder 8 |
| 3 | 46 ÷ 8 = 5 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 97 | 19109 |
| 187 and 157 | 29359 |
| 141 and 57 | 2679 |
| 181 and 23 | 4163 |
| 158 and 164 | 12956 |