Least Common Multiple (LCM) of 177 and 196
The least common multiple (LCM) of 177 and 196 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 177 and 196?
First, calculate the GCD of 177 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 196 = 0 remainder 177 |
| 2 | 196 ÷ 177 = 1 remainder 19 |
| 3 | 177 ÷ 19 = 9 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 109 | 11445 |
| 54 and 95 | 5130 |
| 199 and 13 | 2587 |
| 14 and 152 | 1064 |
| 26 and 110 | 1430 |