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 |
|---|---|
| 195 and 144 | 9360 |
| 160 and 83 | 13280 |
| 174 and 104 | 9048 |
| 55 and 122 | 6710 |
| 113 and 142 | 16046 |