Least Common Multiple (LCM) of 177 and 178
The least common multiple (LCM) of 177 and 178 is 31506.
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 178?
First, calculate the GCD of 177 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 178 = 0 remainder 177 |
| 2 | 178 ÷ 177 = 1 remainder 1 |
| 3 | 177 ÷ 1 = 177 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 72 | 72 |
| 36 and 61 | 2196 |
| 199 and 88 | 17512 |
| 111 and 100 | 11100 |
| 21 and 32 | 672 |