Least Common Multiple (LCM) of 17 and 17
The least common multiple (LCM) of 17 and 17 is 17.
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 17?
First, calculate the GCD of 17 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 17 ÷ 17 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 143 | 26455 |
| 17 and 42 | 714 |
| 173 and 147 | 25431 |
| 138 and 153 | 7038 |
| 193 and 182 | 35126 |