Least Common Multiple (LCM) of 156 and 81
The least common multiple (LCM) of 156 and 81 is 4212.
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 156 and 81?
First, calculate the GCD of 156 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 81 = 1 remainder 75 |
| 2 | 81 ÷ 75 = 1 remainder 6 |
| 3 | 75 ÷ 6 = 12 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 197 | 37233 |
| 144 and 145 | 20880 |
| 177 and 82 | 14514 |
| 89 and 115 | 10235 |
| 61 and 106 | 6466 |