Least Common Multiple (LCM) of 178 and 177
The least common multiple (LCM) of 178 and 177 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 178 and 177?
First, calculate the GCD of 178 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 177 = 1 remainder 1 |
| 2 | 177 ÷ 1 = 177 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 30 | 1410 |
| 149 and 79 | 11771 |
| 144 and 171 | 2736 |
| 30 and 36 | 180 |
| 144 and 55 | 7920 |