Least Common Multiple (LCM) of 173 and 66
The least common multiple (LCM) of 173 and 66 is 11418.
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 66?
First, calculate the GCD of 173 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 66 = 2 remainder 41 |
| 2 | 66 ÷ 41 = 1 remainder 25 |
| 3 | 41 ÷ 25 = 1 remainder 16 |
| 4 | 25 ÷ 16 = 1 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 142 | 27690 |
| 188 and 89 | 16732 |
| 123 and 108 | 4428 |
| 149 and 172 | 25628 |
| 152 and 173 | 26296 |