Least Common Multiple (LCM) of 104 and 173
The least common multiple (LCM) of 104 and 173 is 17992.
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 104 and 173?
First, calculate the GCD of 104 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 173 = 0 remainder 104 |
| 2 | 173 ÷ 104 = 1 remainder 69 |
| 3 | 104 ÷ 69 = 1 remainder 35 |
| 4 | 69 ÷ 35 = 1 remainder 34 |
| 5 | 35 ÷ 34 = 1 remainder 1 |
| 6 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 189 | 1512 |
| 32 and 175 | 5600 |
| 59 and 54 | 3186 |
| 173 and 186 | 32178 |
| 88 and 68 | 1496 |