Least Common Multiple (LCM) of 194 and 196
The least common multiple (LCM) of 194 and 196 is 19012.
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 194 and 196?
First, calculate the GCD of 194 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 196 = 0 remainder 194 |
| 2 | 196 ÷ 194 = 1 remainder 2 |
| 3 | 194 ÷ 2 = 97 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 143 | 17732 |
| 21 and 69 | 483 |
| 139 and 63 | 8757 |
| 134 and 92 | 6164 |
| 128 and 57 | 7296 |