Least Common Multiple (LCM) of 197 and 66
The least common multiple (LCM) of 197 and 66 is 13002.
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 66?
First, calculate the GCD of 197 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 66 = 2 remainder 65 |
| 2 | 66 ÷ 65 = 1 remainder 1 |
| 3 | 65 ÷ 1 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 75 | 5550 |
| 170 and 82 | 6970 |
| 172 and 108 | 4644 |
| 142 and 74 | 5254 |
| 77 and 113 | 8701 |