Least Common Multiple (LCM) of 194 and 177
The least common multiple (LCM) of 194 and 177 is 34338.
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 177?
First, calculate the GCD of 194 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 177 = 1 remainder 17 |
| 2 | 177 ÷ 17 = 10 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 78 | 3120 |
| 169 and 169 | 169 |
| 108 and 146 | 7884 |
| 92 and 18 | 828 |
| 30 and 86 | 1290 |