Least Common Multiple (LCM) of 185 and 84
The least common multiple (LCM) of 185 and 84 is 15540.
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 185 and 84?
First, calculate the GCD of 185 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 84 = 2 remainder 17 |
| 2 | 84 ÷ 17 = 4 remainder 16 |
| 3 | 17 ÷ 16 = 1 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 181 | 10860 |
| 173 and 128 | 22144 |
| 89 and 82 | 7298 |
| 125 and 40 | 1000 |
| 193 and 168 | 32424 |