Least Common Multiple (LCM) of 196 and 146
The least common multiple (LCM) of 196 and 146 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 196 and 146?
First, calculate the GCD of 196 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 146 = 1 remainder 50 |
| 2 | 146 ÷ 50 = 2 remainder 46 |
| 3 | 50 ÷ 46 = 1 remainder 4 |
| 4 | 46 ÷ 4 = 11 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 53 | 4452 |
| 118 and 181 | 21358 |
| 65 and 105 | 1365 |
| 117 and 118 | 13806 |
| 69 and 49 | 3381 |