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 |
|---|---|
| 108 and 150 | 2700 |
| 99 and 37 | 3663 |
| 181 and 166 | 30046 |
| 68 and 114 | 3876 |
| 13 and 129 | 1677 |