Least Common Multiple (LCM) of 186 and 28
The least common multiple (LCM) of 186 and 28 is 2604.
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 28?
First, calculate the GCD of 186 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 28 = 6 remainder 18 |
| 2 | 28 ÷ 18 = 1 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 193 | 17949 |
| 171 and 50 | 8550 |
| 44 and 181 | 7964 |
| 95 and 171 | 855 |
| 67 and 75 | 5025 |