Least Common Multiple (LCM) of 189 and 143
The least common multiple (LCM) of 189 and 143 is 27027.
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 189 and 143?
First, calculate the GCD of 189 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 143 = 1 remainder 46 |
| 2 | 143 ÷ 46 = 3 remainder 5 |
| 3 | 46 ÷ 5 = 9 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 77 | 1463 |
| 77 and 74 | 5698 |
| 92 and 154 | 7084 |
| 45 and 43 | 1935 |
| 148 and 79 | 11692 |