Least Common Multiple (LCM) of 142 and 189
The least common multiple (LCM) of 142 and 189 is 26838.
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 142 and 189?
First, calculate the GCD of 142 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 189 = 0 remainder 142 |
| 2 | 189 ÷ 142 = 1 remainder 47 |
| 3 | 142 ÷ 47 = 3 remainder 1 |
| 4 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 35 | 910 |
| 105 and 191 | 20055 |
| 108 and 25 | 2700 |
| 18 and 19 | 342 |
| 33 and 90 | 990 |