Least Common Multiple (LCM) of 104 and 197
The least common multiple (LCM) of 104 and 197 is 20488.
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 104 and 197?
First, calculate the GCD of 104 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 197 = 0 remainder 104 |
| 2 | 197 ÷ 104 = 1 remainder 93 |
| 3 | 104 ÷ 93 = 1 remainder 11 |
| 4 | 93 ÷ 11 = 8 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 12 | 420 |
| 193 and 85 | 16405 |
| 105 and 16 | 1680 |
| 63 and 187 | 11781 |
| 64 and 185 | 11840 |