Least Common Multiple (LCM) of 81 and 97
The least common multiple (LCM) of 81 and 97 is 7857.
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 97?
First, calculate the GCD of 81 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 97 = 0 remainder 81 |
| 2 | 97 ÷ 81 = 1 remainder 16 |
| 3 | 81 ÷ 16 = 5 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 27 | 4725 |
| 143 and 156 | 1716 |
| 129 and 62 | 7998 |
| 37 and 171 | 6327 |
| 142 and 107 | 15194 |