Least Common Multiple (LCM) of 149 and 81
The least common multiple (LCM) of 149 and 81 is 12069.
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 149 and 81?
First, calculate the GCD of 149 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 81 = 1 remainder 68 |
| 2 | 81 ÷ 68 = 1 remainder 13 |
| 3 | 68 ÷ 13 = 5 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 60 | 4380 |
| 167 and 39 | 6513 |
| 184 and 170 | 15640 |
| 22 and 96 | 1056 |
| 71 and 105 | 7455 |