Least Common Multiple (LCM) of 177 and 193
The least common multiple (LCM) of 177 and 193 is 34161.
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 193?
First, calculate the GCD of 177 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 193 = 0 remainder 177 |
| 2 | 193 ÷ 177 = 1 remainder 16 |
| 3 | 177 ÷ 16 = 11 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 52 | 884 |
| 161 and 134 | 21574 |
| 43 and 65 | 2795 |
| 52 and 110 | 2860 |
| 31 and 119 | 3689 |