Least Common Multiple (LCM) of 104 and 127
The least common multiple (LCM) of 104 and 127 is 13208.
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 104 and 127?
First, calculate the GCD of 104 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 127 = 0 remainder 104 |
| 2 | 127 ÷ 104 = 1 remainder 23 |
| 3 | 104 ÷ 23 = 4 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 188 | 15228 |
| 29 and 13 | 377 |
| 162 and 178 | 14418 |
| 25 and 198 | 4950 |
| 21 and 28 | 84 |