Least Common Multiple (LCM) of 177 and 173
The least common multiple (LCM) of 177 and 173 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 177 and 173?
First, calculate the GCD of 177 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 173 = 1 remainder 4 |
| 2 | 173 ÷ 4 = 43 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 189 | 20601 |
| 29 and 28 | 812 |
| 160 and 106 | 8480 |
| 123 and 117 | 4797 |
| 20 and 101 | 2020 |