Least Common Multiple (LCM) of 81 and 188
The least common multiple (LCM) of 81 and 188 is 15228.
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 188?
First, calculate the GCD of 81 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 188 = 0 remainder 81 |
| 2 | 188 ÷ 81 = 2 remainder 26 |
| 3 | 81 ÷ 26 = 3 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 90 | 180 |
| 15 and 176 | 2640 |
| 127 and 165 | 20955 |
| 34 and 96 | 1632 |
| 75 and 141 | 3525 |