Least Common Multiple (LCM) of 94 and 196
The least common multiple (LCM) of 94 and 196 is 9212.
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 196?
First, calculate the GCD of 94 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 196 = 0 remainder 94 |
| 2 | 196 ÷ 94 = 2 remainder 8 |
| 3 | 94 ÷ 8 = 11 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 114 | 798 |
| 105 and 198 | 6930 |
| 196 and 83 | 16268 |
| 158 and 140 | 11060 |
| 21 and 118 | 2478 |