Least Common Multiple (LCM) of 196 and 177
The least common multiple (LCM) of 196 and 177 is 34692.
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 177?
First, calculate the GCD of 196 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 177 = 1 remainder 19 |
| 2 | 177 ÷ 19 = 9 remainder 6 |
| 3 | 19 ÷ 6 = 3 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 192 | 11712 |
| 20 and 195 | 780 |
| 11 and 187 | 187 |
| 176 and 26 | 2288 |
| 47 and 22 | 1034 |