Least Common Multiple (LCM) of 127 and 144
The least common multiple (LCM) of 127 and 144 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 127 and 144?
First, calculate the GCD of 127 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 144 = 0 remainder 127 |
| 2 | 144 ÷ 127 = 1 remainder 17 |
| 3 | 127 ÷ 17 = 7 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 59 | 2242 |
| 139 and 165 | 22935 |
| 139 and 176 | 24464 |
| 125 and 23 | 2875 |
| 135 and 119 | 16065 |