Least Common Multiple (LCM) of 84 and 185
The least common multiple (LCM) of 84 and 185 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 84 and 185?
First, calculate the GCD of 84 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 185 = 0 remainder 84 |
| 2 | 185 ÷ 84 = 2 remainder 17 |
| 3 | 84 ÷ 17 = 4 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 40 | 520 |
| 101 and 129 | 13029 |
| 178 and 146 | 12994 |
| 106 and 164 | 8692 |
| 85 and 46 | 3910 |