Least Common Multiple (LCM) of 199 and 197
The least common multiple (LCM) of 199 and 197 is 39203.
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 197?
First, calculate the GCD of 199 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 197 = 1 remainder 2 |
| 2 | 197 ÷ 2 = 98 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 146 | 14162 |
| 103 and 71 | 7313 |
| 86 and 60 | 2580 |
| 175 and 69 | 12075 |
| 175 and 143 | 25025 |