Least Common Multiple (LCM) of 173 and 56
The least common multiple (LCM) of 173 and 56 is 9688.
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 56?
First, calculate the GCD of 173 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 56 = 3 remainder 5 |
| 2 | 56 ÷ 5 = 11 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 197 | 20685 |
| 28 and 131 | 3668 |
| 173 and 147 | 25431 |
| 174 and 39 | 2262 |
| 89 and 59 | 5251 |