Least Common Multiple (LCM) of 17 and 171
The least common multiple (LCM) of 17 and 171 is 2907.
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 17 and 171?
First, calculate the GCD of 17 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 17 ÷ 171 = 0 remainder 17 |
| 2 | 171 ÷ 17 = 10 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 84 | 3192 |
| 18 and 143 | 2574 |
| 17 and 116 | 1972 |
| 110 and 99 | 990 |
| 144 and 186 | 4464 |