Least Common Multiple (LCM) of 127 and 188
The least common multiple (LCM) of 127 and 188 is 23876.
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 188?
First, calculate the GCD of 127 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 188 = 0 remainder 127 |
| 2 | 188 ÷ 127 = 1 remainder 61 |
| 3 | 127 ÷ 61 = 2 remainder 5 |
| 4 | 61 ÷ 5 = 12 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 112 | 7280 |
| 133 and 195 | 25935 |
| 84 and 82 | 3444 |
| 86 and 26 | 1118 |
| 53 and 199 | 10547 |