Least Common Multiple (LCM) of 159 and 198
The least common multiple (LCM) of 159 and 198 is 10494.
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 159 and 198?
First, calculate the GCD of 159 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 198 = 0 remainder 159 |
| 2 | 198 ÷ 159 = 1 remainder 39 |
| 3 | 159 ÷ 39 = 4 remainder 3 |
| 4 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 42 | 294 |
| 92 and 69 | 276 |
| 44 and 85 | 3740 |
| 183 and 190 | 34770 |
| 194 and 54 | 5238 |