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 |
|---|---|
| 130 and 170 | 2210 |
| 28 and 193 | 5404 |
| 132 and 100 | 3300 |
| 126 and 59 | 7434 |
| 26 and 75 | 1950 |