Least Common Multiple (LCM) of 146 and 195
The least common multiple (LCM) of 146 and 195 is 28470.
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 195?
First, calculate the GCD of 146 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 195 = 0 remainder 146 |
| 2 | 195 ÷ 146 = 1 remainder 49 |
| 3 | 146 ÷ 49 = 2 remainder 48 |
| 4 | 49 ÷ 48 = 1 remainder 1 |
| 5 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 54 | 6426 |
| 104 and 164 | 4264 |
| 69 and 158 | 10902 |
| 159 and 172 | 27348 |
| 85 and 162 | 13770 |