Least Common Multiple (LCM) of 143 and 195
The least common multiple (LCM) of 143 and 195 is 2145.
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 143 and 195?
First, calculate the GCD of 143 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 195 = 0 remainder 143 |
| 2 | 195 ÷ 143 = 1 remainder 52 |
| 3 | 143 ÷ 52 = 2 remainder 39 |
| 4 | 52 ÷ 39 = 1 remainder 13 |
| 5 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 128 | 3456 |
| 100 and 94 | 4700 |
| 40 and 19 | 760 |
| 145 and 65 | 1885 |
| 97 and 145 | 14065 |