Least Common Multiple (LCM) of 148 and 198
The least common multiple (LCM) of 148 and 198 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 148 and 198?
First, calculate the GCD of 148 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 198 = 0 remainder 148 |
| 2 | 198 ÷ 148 = 1 remainder 50 |
| 3 | 148 ÷ 50 = 2 remainder 48 |
| 4 | 50 ÷ 48 = 1 remainder 2 |
| 5 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 24 | 120 |
| 68 and 76 | 1292 |
| 144 and 111 | 5328 |
| 82 and 110 | 4510 |
| 89 and 167 | 14863 |