Least Common Multiple (LCM) of 173 and 166
The least common multiple (LCM) of 173 and 166 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 173 and 166?
First, calculate the GCD of 173 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 166 = 1 remainder 7 |
| 2 | 166 ÷ 7 = 23 remainder 5 |
| 3 | 7 ÷ 5 = 1 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 81 | 1539 |
| 83 and 101 | 8383 |
| 41 and 103 | 4223 |
| 80 and 82 | 3280 |
| 139 and 185 | 25715 |