Least Common Multiple (LCM) of 144 and 147
The least common multiple (LCM) of 144 and 147 is 7056.
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 147?
First, calculate the GCD of 144 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 147 = 0 remainder 144 |
| 2 | 147 ÷ 144 = 1 remainder 3 |
| 3 | 144 ÷ 3 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 105 | 6930 |
| 35 and 89 | 3115 |
| 193 and 143 | 27599 |
| 195 and 68 | 13260 |
| 171 and 32 | 5472 |