Least Common Multiple (LCM) of 166 and 173
The least common multiple (LCM) of 166 and 173 is 28718.
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 166 and 173?
First, calculate the GCD of 166 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 173 = 0 remainder 166 |
| 2 | 173 ÷ 166 = 1 remainder 7 |
| 3 | 166 ÷ 7 = 23 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 30 | 2580 |
| 181 and 86 | 15566 |
| 72 and 60 | 360 |
| 170 and 198 | 16830 |
| 137 and 126 | 17262 |