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 |
|---|---|
| 78 and 39 | 78 |
| 110 and 44 | 220 |
| 141 and 26 | 3666 |
| 114 and 116 | 6612 |
| 134 and 60 | 4020 |