Least Common Multiple (LCM) of 64 and 197
The least common multiple (LCM) of 64 and 197 is 12608.
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 64 and 197?
First, calculate the GCD of 64 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 197 = 0 remainder 64 |
| 2 | 197 ÷ 64 = 3 remainder 5 |
| 3 | 64 ÷ 5 = 12 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 15 | 105 |
| 182 and 98 | 1274 |
| 67 and 124 | 8308 |
| 102 and 89 | 9078 |
| 149 and 136 | 20264 |