Least Common Multiple (LCM) of 186 and 84
The least common multiple (LCM) of 186 and 84 is 2604.
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 84?
First, calculate the GCD of 186 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 84 = 2 remainder 18 |
| 2 | 84 ÷ 18 = 4 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 32 | 3104 |
| 139 and 50 | 6950 |
| 176 and 33 | 528 |
| 55 and 109 | 5995 |
| 198 and 191 | 37818 |