Least Common Multiple (LCM) of 144 and 142
The least common multiple (LCM) of 144 and 142 is 10224.
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 144 and 142?
First, calculate the GCD of 144 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 142 = 1 remainder 2 |
| 2 | 142 ÷ 2 = 71 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 149 | 19072 |
| 29 and 184 | 5336 |
| 199 and 69 | 13731 |
| 129 and 78 | 3354 |
| 168 and 18 | 504 |