Least Common Multiple (LCM) of 195 and 173
The least common multiple (LCM) of 195 and 173 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 195 and 173?
First, calculate the GCD of 195 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 173 = 1 remainder 22 |
| 2 | 173 ÷ 22 = 7 remainder 19 |
| 3 | 22 ÷ 19 = 1 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 39 | 897 |
| 12 and 59 | 708 |
| 196 and 89 | 17444 |
| 10 and 129 | 1290 |
| 145 and 43 | 6235 |