Least Common Multiple (LCM) of 173 and 104
The least common multiple (LCM) of 173 and 104 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 173 and 104?
First, calculate the GCD of 173 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 104 = 1 remainder 69 |
| 2 | 104 ÷ 69 = 1 remainder 35 |
| 3 | 69 ÷ 35 = 1 remainder 34 |
| 4 | 35 ÷ 34 = 1 remainder 1 |
| 5 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 160 | 1440 |
| 36 and 17 | 612 |
| 10 and 65 | 130 |
| 176 and 102 | 8976 |
| 160 and 159 | 25440 |