Least Common Multiple (LCM) of 186 and 184
The least common multiple (LCM) of 186 and 184 is 17112.
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 184?
First, calculate the GCD of 186 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 184 = 1 remainder 2 |
| 2 | 184 ÷ 2 = 92 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 185 | 27565 |
| 35 and 121 | 4235 |
| 176 and 44 | 176 |
| 103 and 160 | 16480 |
| 10 and 85 | 170 |