Least Common Multiple (LCM) of 81 and 146
The least common multiple (LCM) of 81 and 146 is 11826.
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 146?
First, calculate the GCD of 81 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 146 = 0 remainder 81 |
| 2 | 146 ÷ 81 = 1 remainder 65 |
| 3 | 81 ÷ 65 = 1 remainder 16 |
| 4 | 65 ÷ 16 = 4 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 79 | 1027 |
| 123 and 177 | 7257 |
| 154 and 54 | 4158 |
| 55 and 17 | 935 |
| 157 and 139 | 21823 |