Least Common Multiple (LCM) of 198 and 148
The least common multiple (LCM) of 198 and 148 is 14652.
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 198 and 148?
First, calculate the GCD of 198 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 148 = 1 remainder 50 |
| 2 | 148 ÷ 50 = 2 remainder 48 |
| 3 | 50 ÷ 48 = 1 remainder 2 |
| 4 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 85 | 15980 |
| 167 and 49 | 8183 |
| 38 and 68 | 1292 |
| 76 and 128 | 2432 |
| 153 and 125 | 19125 |