Least Common Multiple (LCM) of 173 and 54
The least common multiple (LCM) of 173 and 54 is 9342.
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 54?
First, calculate the GCD of 173 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 54 = 3 remainder 11 |
| 2 | 54 ÷ 11 = 4 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 191 | 34380 |
| 190 and 127 | 24130 |
| 133 and 19 | 133 |
| 77 and 43 | 3311 |
| 187 and 120 | 22440 |