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 |
|---|---|
| 175 and 185 | 6475 |
| 145 and 75 | 2175 |
| 56 and 154 | 616 |
| 129 and 178 | 22962 |
| 101 and 170 | 17170 |