Least Common Multiple (LCM) of 186 and 198
The least common multiple (LCM) of 186 and 198 is 6138.
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 186 and 198?
First, calculate the GCD of 186 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 198 = 0 remainder 186 |
| 2 | 198 ÷ 186 = 1 remainder 12 |
| 3 | 186 ÷ 12 = 15 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 82 | 9266 |
| 24 and 152 | 456 |
| 46 and 180 | 4140 |
| 42 and 128 | 2688 |
| 88 and 64 | 704 |