Least Common Multiple (LCM) of 186 and 27
The least common multiple (LCM) of 186 and 27 is 1674.
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 27?
First, calculate the GCD of 186 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 27 = 6 remainder 24 |
| 2 | 27 ÷ 24 = 1 remainder 3 |
| 3 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 24 | 1320 |
| 41 and 145 | 5945 |
| 80 and 163 | 13040 |
| 175 and 120 | 4200 |
| 168 and 67 | 11256 |