Least Common Multiple (LCM) of 144 and 127
The least common multiple (LCM) of 144 and 127 is 18288.
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 127?
First, calculate the GCD of 144 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 127 = 1 remainder 17 |
| 2 | 127 ÷ 17 = 7 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 72 | 3096 |
| 89 and 95 | 8455 |
| 74 and 171 | 12654 |
| 70 and 21 | 210 |
| 192 and 28 | 1344 |