Least Common Multiple (LCM) of 127 and 145
The least common multiple (LCM) of 127 and 145 is 18415.
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 145?
First, calculate the GCD of 127 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 145 = 0 remainder 127 |
| 2 | 145 ÷ 127 = 1 remainder 18 |
| 3 | 127 ÷ 18 = 7 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 16 | 128 |
| 171 and 68 | 11628 |
| 84 and 11 | 924 |
| 64 and 110 | 3520 |
| 120 and 188 | 5640 |