Least Common Multiple (LCM) of 194 and 197
The least common multiple (LCM) of 194 and 197 is 38218.
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 194 and 197?
First, calculate the GCD of 194 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 197 = 0 remainder 194 |
| 2 | 197 ÷ 194 = 1 remainder 3 |
| 3 | 194 ÷ 3 = 64 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 168 | 30408 |
| 75 and 98 | 7350 |
| 61 and 164 | 10004 |
| 140 and 15 | 420 |
| 183 and 163 | 29829 |