Least Common Multiple (LCM) of 146 and 196
The least common multiple (LCM) of 146 and 196 is 14308.
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 196?
First, calculate the GCD of 146 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 196 = 0 remainder 146 |
| 2 | 196 ÷ 146 = 1 remainder 50 |
| 3 | 146 ÷ 50 = 2 remainder 46 |
| 4 | 50 ÷ 46 = 1 remainder 4 |
| 5 | 46 ÷ 4 = 11 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 137 | 2740 |
| 29 and 153 | 4437 |
| 38 and 86 | 1634 |
| 186 and 24 | 744 |
| 76 and 21 | 1596 |