Least Common Multiple (LCM) of 155 and 127
The least common multiple (LCM) of 155 and 127 is 19685.
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 155 and 127?
First, calculate the GCD of 155 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 127 = 1 remainder 28 |
| 2 | 127 ÷ 28 = 4 remainder 15 |
| 3 | 28 ÷ 15 = 1 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 32 | 672 |
| 61 and 142 | 8662 |
| 14 and 188 | 1316 |
| 78 and 97 | 7566 |
| 119 and 127 | 15113 |