Least Common Multiple (LCM) of 186 and 127
The least common multiple (LCM) of 186 and 127 is 23622.
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 186 and 127?
First, calculate the GCD of 186 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 127 = 1 remainder 59 |
| 2 | 127 ÷ 59 = 2 remainder 9 |
| 3 | 59 ÷ 9 = 6 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 171 | 19323 |
| 31 and 69 | 2139 |
| 118 and 45 | 5310 |
| 97 and 70 | 6790 |
| 167 and 119 | 19873 |