Least Common Multiple (LCM) of 94 and 198
The least common multiple (LCM) of 94 and 198 is 9306.
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 94 and 198?
First, calculate the GCD of 94 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 198 = 0 remainder 94 |
| 2 | 198 ÷ 94 = 2 remainder 10 |
| 3 | 94 ÷ 10 = 9 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 70 | 9030 |
| 23 and 37 | 851 |
| 92 and 152 | 3496 |
| 104 and 135 | 14040 |
| 108 and 25 | 2700 |