Least Common Multiple (LCM) of 173 and 177
The least common multiple (LCM) of 173 and 177 is 30621.
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 173 and 177?
First, calculate the GCD of 173 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 177 = 0 remainder 173 |
| 2 | 177 ÷ 173 = 1 remainder 4 |
| 3 | 173 ÷ 4 = 43 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 12 | 540 |
| 84 and 152 | 3192 |
| 166 and 193 | 32038 |
| 128 and 30 | 1920 |
| 180 and 111 | 6660 |