Least Common Multiple (LCM) of 127 and 58
The least common multiple (LCM) of 127 and 58 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 127 and 58?
First, calculate the GCD of 127 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 58 = 2 remainder 11 |
| 2 | 58 ÷ 11 = 5 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 93 | 1302 |
| 153 and 185 | 28305 |
| 157 and 83 | 13031 |
| 169 and 185 | 31265 |
| 107 and 155 | 16585 |