Least Common Multiple (LCM) of 116 and 173
The least common multiple (LCM) of 116 and 173 is 20068.
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 116 and 173?
First, calculate the GCD of 116 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 173 = 0 remainder 116 |
| 2 | 173 ÷ 116 = 1 remainder 57 |
| 3 | 116 ÷ 57 = 2 remainder 2 |
| 4 | 57 ÷ 2 = 28 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 77 | 385 |
| 117 and 72 | 936 |
| 181 and 82 | 14842 |
| 89 and 149 | 13261 |
| 187 and 83 | 15521 |