Least Common Multiple (LCM) of 198 and 100
The least common multiple (LCM) of 198 and 100 is 9900.
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 100?
First, calculate the GCD of 198 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 100 = 1 remainder 98 |
| 2 | 100 ÷ 98 = 1 remainder 2 |
| 3 | 98 ÷ 2 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 103 | 14523 |
| 38 and 11 | 418 |
| 43 and 24 | 1032 |
| 27 and 12 | 108 |
| 105 and 104 | 10920 |