Least Common Multiple (LCM) of 197 and 200
The least common multiple (LCM) of 197 and 200 is 39400.
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 197 and 200?
First, calculate the GCD of 197 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 200 = 0 remainder 197 |
| 2 | 200 ÷ 197 = 1 remainder 3 |
| 3 | 197 ÷ 3 = 65 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 107 | 20544 |
| 189 and 130 | 24570 |
| 41 and 67 | 2747 |
| 152 and 60 | 2280 |
| 34 and 147 | 4998 |