Least Common Multiple (LCM) of 144 and 145
The least common multiple (LCM) of 144 and 145 is 20880.
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 145?
First, calculate the GCD of 144 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 145 = 0 remainder 144 |
| 2 | 145 ÷ 144 = 1 remainder 1 |
| 3 | 144 ÷ 1 = 144 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 42 | 420 |
| 112 and 12 | 336 |
| 138 and 14 | 966 |
| 76 and 84 | 1596 |
| 182 and 179 | 32578 |