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 |
|---|---|
| 176 and 188 | 8272 |
| 43 and 94 | 4042 |
| 89 and 186 | 16554 |
| 42 and 123 | 1722 |
| 113 and 77 | 8701 |