Least Common Multiple (LCM) of 186 and 85
The least common multiple (LCM) of 186 and 85 is 15810.
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 85?
First, calculate the GCD of 186 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 85 = 2 remainder 16 |
| 2 | 85 ÷ 16 = 5 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 21 | 3801 |
| 99 and 175 | 17325 |
| 53 and 13 | 689 |
| 118 and 81 | 9558 |
| 199 and 196 | 39004 |