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 |
|---|---|
| 171 and 149 | 25479 |
| 100 and 83 | 8300 |
| 110 and 18 | 990 |
| 50 and 165 | 1650 |
| 51 and 125 | 6375 |