Least Common Multiple (LCM) of 42 and 171
The least common multiple (LCM) of 42 and 171 is 2394.
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 42 and 171?
First, calculate the GCD of 42 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 171 = 0 remainder 42 |
| 2 | 171 ÷ 42 = 4 remainder 3 |
| 3 | 42 ÷ 3 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 142 | 11928 |
| 165 and 189 | 10395 |
| 136 and 152 | 2584 |
| 133 and 39 | 5187 |
| 103 and 55 | 5665 |