Least Common Multiple (LCM) of 177 and 84
The least common multiple (LCM) of 177 and 84 is 4956.
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 84?
First, calculate the GCD of 177 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 84 = 2 remainder 9 |
| 2 | 84 ÷ 9 = 9 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 34 | 4182 |
| 168 and 16 | 336 |
| 161 and 184 | 1288 |
| 165 and 66 | 330 |
| 139 and 189 | 26271 |