Least Common Multiple (LCM) of 171 and 38
The least common multiple (LCM) of 171 and 38 is 342.
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 38?
First, calculate the GCD of 171 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 38 = 4 remainder 19 |
| 2 | 38 ÷ 19 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 106 | 106 |
| 114 and 155 | 17670 |
| 153 and 28 | 4284 |
| 66 and 152 | 5016 |
| 16 and 57 | 912 |