Least Common Multiple (LCM) of 96 and 144
The least common multiple (LCM) of 96 and 144 is 288.
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 96 and 144?
First, calculate the GCD of 96 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 144 = 0 remainder 96 |
| 2 | 144 ÷ 96 = 1 remainder 48 |
| 3 | 96 ÷ 48 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 132 | 6996 |
| 185 and 105 | 3885 |
| 109 and 195 | 21255 |
| 77 and 52 | 4004 |
| 21 and 69 | 483 |