Least Common Multiple (LCM) of 173 and 85
The least common multiple (LCM) of 173 and 85 is 14705.
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 85?
First, calculate the GCD of 173 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 85 = 2 remainder 3 |
| 2 | 85 ÷ 3 = 28 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 186 | 32550 |
| 44 and 18 | 396 |
| 112 and 80 | 560 |
| 67 and 24 | 1608 |
| 114 and 53 | 6042 |