Least Common Multiple (LCM) of 171 and 176
The least common multiple (LCM) of 171 and 176 is 30096.
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 171 and 176?
First, calculate the GCD of 171 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 176 = 0 remainder 171 |
| 2 | 176 ÷ 171 = 1 remainder 5 |
| 3 | 171 ÷ 5 = 34 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 196 | 35084 |
| 20 and 37 | 740 |
| 126 and 57 | 2394 |
| 45 and 153 | 765 |
| 154 and 168 | 1848 |