Least Common Multiple (LCM) of 84 and 186
The least common multiple (LCM) of 84 and 186 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 84 and 186?
First, calculate the GCD of 84 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 186 = 0 remainder 84 |
| 2 | 186 ÷ 84 = 2 remainder 18 |
| 3 | 84 ÷ 18 = 4 remainder 12 |
| 4 | 18 ÷ 12 = 1 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 44 | 220 |
| 157 and 100 | 15700 |
| 186 and 184 | 17112 |
| 133 and 200 | 26600 |
| 68 and 58 | 1972 |