Least Common Multiple (LCM) of 195 and 145
The least common multiple (LCM) of 195 and 145 is 5655.
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 145?
First, calculate the GCD of 195 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 145 = 1 remainder 50 |
| 2 | 145 ÷ 50 = 2 remainder 45 |
| 3 | 50 ÷ 45 = 1 remainder 5 |
| 4 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 96 | 1632 |
| 189 and 116 | 21924 |
| 56 and 198 | 5544 |
| 28 and 184 | 1288 |
| 56 and 59 | 3304 |