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 |
|---|---|
| 169 and 123 | 20787 |
| 167 and 31 | 5177 |
| 136 and 134 | 9112 |
| 121 and 84 | 10164 |
| 198 and 156 | 5148 |