Least Common Multiple (LCM) of 186 and 142
The least common multiple (LCM) of 186 and 142 is 13206.
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 142?
First, calculate the GCD of 186 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 142 = 1 remainder 44 |
| 2 | 142 ÷ 44 = 3 remainder 10 |
| 3 | 44 ÷ 10 = 4 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 91 | 12922 |
| 125 and 110 | 2750 |
| 27 and 171 | 513 |
| 56 and 184 | 1288 |
| 198 and 85 | 16830 |