Least Common Multiple (LCM) of 173 and 16
The least common multiple (LCM) of 173 and 16 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 173 and 16?
First, calculate the GCD of 173 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 16 = 10 remainder 13 |
| 2 | 16 ÷ 13 = 1 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 45 | 180 |
| 150 and 58 | 4350 |
| 187 and 18 | 3366 |
| 31 and 44 | 1364 |
| 86 and 31 | 2666 |