Least Common Multiple (LCM) of 197 and 100
The least common multiple (LCM) of 197 and 100 is 19700.
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 100?
First, calculate the GCD of 197 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 100 = 1 remainder 97 |
| 2 | 100 ÷ 97 = 1 remainder 3 |
| 3 | 97 ÷ 3 = 32 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 132 | 8316 |
| 149 and 50 | 7450 |
| 155 and 147 | 22785 |
| 168 and 197 | 33096 |
| 154 and 15 | 2310 |