Least Common Multiple (LCM) of 195 and 146
The least common multiple (LCM) of 195 and 146 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 195 and 146?
First, calculate the GCD of 195 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 146 = 1 remainder 49 |
| 2 | 146 ÷ 49 = 2 remainder 48 |
| 3 | 49 ÷ 48 = 1 remainder 1 |
| 4 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 87 | 870 |
| 86 and 14 | 602 |
| 197 and 17 | 3349 |
| 190 and 112 | 10640 |
| 155 and 108 | 16740 |