Least Common Multiple (LCM) of 145 and 144
The least common multiple (LCM) of 145 and 144 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 145 and 144?
First, calculate the GCD of 145 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 144 = 1 remainder 1 |
| 2 | 144 ÷ 1 = 144 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 164 | 656 |
| 60 and 150 | 300 |
| 21 and 135 | 945 |
| 72 and 21 | 504 |
| 130 and 33 | 4290 |