Least Common Multiple (LCM) of 196 and 199
The least common multiple (LCM) of 196 and 199 is 39004.
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 199?
First, calculate the GCD of 196 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 199 = 0 remainder 196 |
| 2 | 199 ÷ 196 = 1 remainder 3 |
| 3 | 196 ÷ 3 = 65 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 89 | 15664 |
| 130 and 82 | 5330 |
| 46 and 138 | 138 |
| 139 and 46 | 6394 |
| 113 and 113 | 113 |