Least Common Multiple (LCM) of 173 and 111
The least common multiple (LCM) of 173 and 111 is 19203.
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 111?
First, calculate the GCD of 173 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 111 = 1 remainder 62 |
| 2 | 111 ÷ 62 = 1 remainder 49 |
| 3 | 62 ÷ 49 = 1 remainder 13 |
| 4 | 49 ÷ 13 = 3 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 106 | 6466 |
| 164 and 128 | 5248 |
| 172 and 46 | 3956 |
| 82 and 174 | 7134 |
| 19 and 78 | 1482 |