Least Common Multiple (LCM) of 173 and 96
The least common multiple (LCM) of 173 and 96 is 16608.
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 96?
First, calculate the GCD of 173 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 96 = 1 remainder 77 |
| 2 | 96 ÷ 77 = 1 remainder 19 |
| 3 | 77 ÷ 19 = 4 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 159 | 6996 |
| 99 and 105 | 3465 |
| 58 and 196 | 5684 |
| 118 and 82 | 4838 |
| 90 and 128 | 5760 |