Least Common Multiple (LCM) of 186 and 45
The least common multiple (LCM) of 186 and 45 is 2790.
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 45?
First, calculate the GCD of 186 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 45 = 4 remainder 6 |
| 2 | 45 ÷ 6 = 7 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 45 | 630 |
| 187 and 184 | 34408 |
| 21 and 67 | 1407 |
| 188 and 35 | 6580 |
| 113 and 30 | 3390 |