Least Common Multiple (LCM) of 173 and 195
The least common multiple (LCM) of 173 and 195 is 33735.
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 195?
First, calculate the GCD of 173 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 195 = 0 remainder 173 |
| 2 | 195 ÷ 173 = 1 remainder 22 |
| 3 | 173 ÷ 22 = 7 remainder 19 |
| 4 | 22 ÷ 19 = 1 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 96 | 4128 |
| 69 and 189 | 4347 |
| 36 and 64 | 576 |
| 151 and 90 | 13590 |
| 20 and 150 | 300 |