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 |
|---|---|
| 84 and 79 | 6636 |
| 188 and 50 | 4700 |
| 49 and 171 | 8379 |
| 198 and 70 | 6930 |
| 143 and 169 | 1859 |