Least Common Multiple (LCM) of 17 and 166
The least common multiple (LCM) of 17 and 166 is 2822.
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 166?
First, calculate the GCD of 17 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 17 ÷ 166 = 0 remainder 17 |
| 2 | 166 ÷ 17 = 9 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 117 | 3393 |
| 33 and 140 | 4620 |
| 112 and 102 | 5712 |
| 150 and 58 | 4350 |
| 123 and 33 | 1353 |