Least Common Multiple (LCM) of 16 and 173
The least common multiple (LCM) of 16 and 173 is 2768.
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 16 and 173?
First, calculate the GCD of 16 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 173 = 0 remainder 16 |
| 2 | 173 ÷ 16 = 10 remainder 13 |
| 3 | 16 ÷ 13 = 1 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 68 | 4556 |
| 178 and 93 | 16554 |
| 167 and 32 | 5344 |
| 57 and 38 | 114 |
| 56 and 145 | 8120 |