Least Common Multiple (LCM) of 173 and 48
The least common multiple (LCM) of 173 and 48 is 8304.
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 48?
First, calculate the GCD of 173 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 48 = 3 remainder 29 |
| 2 | 48 ÷ 29 = 1 remainder 19 |
| 3 | 29 ÷ 19 = 1 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 46 | 3036 |
| 144 and 73 | 10512 |
| 107 and 187 | 20009 |
| 112 and 83 | 9296 |
| 35 and 23 | 805 |