Least Common Multiple (LCM) of 198 and 154
The least common multiple (LCM) of 198 and 154 is 1386.
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 154?
First, calculate the GCD of 198 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 154 = 1 remainder 44 |
| 2 | 154 ÷ 44 = 3 remainder 22 |
| 3 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 48 | 3504 |
| 138 and 88 | 6072 |
| 24 and 40 | 120 |
| 154 and 171 | 26334 |
| 10 and 80 | 80 |