Least Common Multiple (LCM) of 173 and 94
The least common multiple (LCM) of 173 and 94 is 16262.
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 94?
First, calculate the GCD of 173 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 94 = 1 remainder 79 |
| 2 | 94 ÷ 79 = 1 remainder 15 |
| 3 | 79 ÷ 15 = 5 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 150 | 9450 |
| 16 and 200 | 400 |
| 196 and 13 | 2548 |
| 34 and 123 | 4182 |
| 133 and 116 | 15428 |