Least Common Multiple (LCM) of 144 and 32
The least common multiple (LCM) of 144 and 32 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 144 and 32?
First, calculate the GCD of 144 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 32 = 4 remainder 16 |
| 2 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 85 | 11730 |
| 111 and 182 | 20202 |
| 46 and 108 | 2484 |
| 168 and 117 | 6552 |
| 119 and 11 | 1309 |