Least Common Multiple (LCM) of 144 and 80
The least common multiple (LCM) of 144 and 80 is 720.
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 80?
First, calculate the GCD of 144 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 80 = 1 remainder 64 |
| 2 | 80 ÷ 64 = 1 remainder 16 |
| 3 | 64 ÷ 16 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 84 | 8148 |
| 20 and 76 | 380 |
| 130 and 123 | 15990 |
| 200 and 193 | 38600 |
| 147 and 100 | 14700 |