Least Common Multiple (LCM) of 64 and 198
The least common multiple (LCM) of 64 and 198 is 6336.
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 198?
First, calculate the GCD of 64 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 198 = 0 remainder 64 |
| 2 | 198 ÷ 64 = 3 remainder 6 |
| 3 | 64 ÷ 6 = 10 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 160 | 17120 |
| 165 and 153 | 8415 |
| 36 and 119 | 4284 |
| 101 and 77 | 7777 |
| 83 and 129 | 10707 |