Least Common Multiple (LCM) of 199 and 198
The least common multiple (LCM) of 199 and 198 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 199 and 198?
First, calculate the GCD of 199 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 198 = 1 remainder 1 |
| 2 | 198 ÷ 1 = 198 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 113 | 11526 |
| 161 and 112 | 2576 |
| 118 and 86 | 5074 |
| 19 and 40 | 760 |
| 82 and 39 | 3198 |