Least Common Multiple (LCM) of 81 and 149
The least common multiple (LCM) of 81 and 149 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 81 and 149?
First, calculate the GCD of 81 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 149 = 0 remainder 81 |
| 2 | 149 ÷ 81 = 1 remainder 68 |
| 3 | 81 ÷ 68 = 1 remainder 13 |
| 4 | 68 ÷ 13 = 5 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 67 | 6901 |
| 56 and 51 | 2856 |
| 44 and 160 | 1760 |
| 23 and 44 | 1012 |
| 44 and 98 | 2156 |