Least Common Multiple (LCM) of 66 and 144
The least common multiple (LCM) of 66 and 144 is 1584.
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 66 and 144?
First, calculate the GCD of 66 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 144 = 0 remainder 66 |
| 2 | 144 ÷ 66 = 2 remainder 12 |
| 3 | 66 ÷ 12 = 5 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 97 | 12028 |
| 103 and 26 | 2678 |
| 199 and 174 | 34626 |
| 142 and 71 | 142 |
| 171 and 30 | 1710 |