Least Common Multiple (LCM) of 58 and 127
The least common multiple (LCM) of 58 and 127 is 7366.
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 58 and 127?
First, calculate the GCD of 58 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 127 = 0 remainder 58 |
| 2 | 127 ÷ 58 = 2 remainder 11 |
| 3 | 58 ÷ 11 = 5 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 40 | 720 |
| 59 and 57 | 3363 |
| 197 and 58 | 11426 |
| 190 and 101 | 19190 |
| 27 and 175 | 4725 |