Least Common Multiple (LCM) of 199 and 196
The least common multiple (LCM) of 199 and 196 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 199 and 196?
First, calculate the GCD of 199 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 196 = 1 remainder 3 |
| 2 | 196 ÷ 3 = 65 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 29 | 116 |
| 80 and 174 | 6960 |
| 164 and 14 | 1148 |
| 114 and 150 | 2850 |
| 139 and 149 | 20711 |