Least Common Multiple (LCM) of 171 and 19
The least common multiple (LCM) of 171 and 19 is 171.
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 19?
First, calculate the GCD of 171 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 19 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 30 | 1410 |
| 16 and 72 | 144 |
| 187 and 74 | 13838 |
| 54 and 77 | 4158 |
| 142 and 199 | 28258 |