Least Common Multiple (LCM) of 81 and 148
The least common multiple (LCM) of 81 and 148 is 11988.
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 148?
First, calculate the GCD of 81 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 148 = 0 remainder 81 |
| 2 | 148 ÷ 81 = 1 remainder 67 |
| 3 | 81 ÷ 67 = 1 remainder 14 |
| 4 | 67 ÷ 14 = 4 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 58 | 11310 |
| 197 and 46 | 9062 |
| 172 and 98 | 8428 |
| 165 and 39 | 2145 |
| 196 and 114 | 11172 |