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 |
|---|---|
| 174 and 79 | 13746 |
| 28 and 22 | 308 |
| 174 and 56 | 4872 |
| 103 and 75 | 7725 |
| 120 and 179 | 21480 |