Least Common Multiple (LCM) of 186 and 43
The least common multiple (LCM) of 186 and 43 is 7998.
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 43?
First, calculate the GCD of 186 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 43 = 4 remainder 14 |
| 2 | 43 ÷ 14 = 3 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 112 | 9968 |
| 172 and 106 | 9116 |
| 172 and 123 | 21156 |
| 44 and 105 | 4620 |
| 200 and 10 | 200 |