Least Common Multiple (LCM) of 81 and 186
The least common multiple (LCM) of 81 and 186 is 5022.
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 81 and 186?
First, calculate the GCD of 81 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 186 = 0 remainder 81 |
| 2 | 186 ÷ 81 = 2 remainder 24 |
| 3 | 81 ÷ 24 = 3 remainder 9 |
| 4 | 24 ÷ 9 = 2 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 179 | 31683 |
| 150 and 140 | 2100 |
| 82 and 61 | 5002 |
| 160 and 80 | 160 |
| 54 and 161 | 8694 |