Least Common Multiple (LCM) of 198 and 199
The least common multiple (LCM) of 198 and 199 is 39402.
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 199?
First, calculate the GCD of 198 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 199 = 0 remainder 198 |
| 2 | 199 ÷ 198 = 1 remainder 1 |
| 3 | 198 ÷ 1 = 198 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 119 | 12614 |
| 133 and 171 | 1197 |
| 21 and 143 | 3003 |
| 180 and 141 | 8460 |
| 35 and 165 | 1155 |