Least Common Multiple (LCM) of 126 and 81
The least common multiple (LCM) of 126 and 81 is 1134.
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 126 and 81?
First, calculate the GCD of 126 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 81 = 1 remainder 45 |
| 2 | 81 ÷ 45 = 1 remainder 36 |
| 3 | 45 ÷ 36 = 1 remainder 9 |
| 4 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 19 | 2812 |
| 189 and 55 | 10395 |
| 165 and 34 | 5610 |
| 162 and 46 | 3726 |
| 60 and 79 | 4740 |