Least Common Multiple (LCM) of 171 and 57
The least common multiple (LCM) of 171 and 57 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 57?
First, calculate the GCD of 171 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 57 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 53 | 9593 |
| 113 and 11 | 1243 |
| 150 and 24 | 600 |
| 15 and 164 | 2460 |
| 84 and 168 | 168 |