Least Common Multiple (LCM) of 196 and 94
The least common multiple (LCM) of 196 and 94 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 196 and 94?
First, calculate the GCD of 196 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 94 = 2 remainder 8 |
| 2 | 94 ÷ 8 = 11 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 156 | 1092 |
| 69 and 199 | 13731 |
| 50 and 55 | 550 |
| 167 and 120 | 20040 |
| 192 and 36 | 576 |