Least Common Multiple (LCM) of 186 and 162
The least common multiple (LCM) of 186 and 162 is 5022.
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 162?
First, calculate the GCD of 186 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 162 = 1 remainder 24 |
| 2 | 162 ÷ 24 = 6 remainder 18 |
| 3 | 24 ÷ 18 = 1 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 143 | 2002 |
| 85 and 105 | 1785 |
| 27 and 164 | 4428 |
| 18 and 74 | 666 |
| 145 and 197 | 28565 |