Least Common Multiple (LCM) of 142 and 186
The least common multiple (LCM) of 142 and 186 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 142 and 186?
First, calculate the GCD of 142 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 186 = 0 remainder 142 |
| 2 | 186 ÷ 142 = 1 remainder 44 |
| 3 | 142 ÷ 44 = 3 remainder 10 |
| 4 | 44 ÷ 10 = 4 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 27 | 3294 |
| 189 and 143 | 27027 |
| 27 and 108 | 108 |
| 185 and 189 | 34965 |
| 56 and 28 | 56 |