Least Common Multiple (LCM) of 147 and 144
The least common multiple (LCM) of 147 and 144 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 147 and 144?
First, calculate the GCD of 147 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 144 = 1 remainder 3 |
| 2 | 144 ÷ 3 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 158 | 24806 |
| 187 and 175 | 32725 |
| 15 and 27 | 135 |
| 105 and 185 | 3885 |
| 20 and 72 | 360 |