Least Common Multiple (LCM) of 145 and 195
The least common multiple (LCM) of 145 and 195 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 145 and 195?
First, calculate the GCD of 145 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 195 = 0 remainder 145 |
| 2 | 195 ÷ 145 = 1 remainder 50 |
| 3 | 145 ÷ 50 = 2 remainder 45 |
| 4 | 50 ÷ 45 = 1 remainder 5 |
| 5 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 194 | 16490 |
| 135 and 178 | 24030 |
| 46 and 162 | 3726 |
| 74 and 144 | 5328 |
| 111 and 31 | 3441 |