Least Common Multiple (LCM) of 81 and 91
The least common multiple (LCM) of 81 and 91 is 7371.
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 91?
First, calculate the GCD of 81 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 91 = 0 remainder 81 |
| 2 | 91 ÷ 81 = 1 remainder 10 |
| 3 | 81 ÷ 10 = 8 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 164 | 10660 |
| 20 and 137 | 2740 |
| 145 and 161 | 23345 |
| 66 and 29 | 1914 |
| 33 and 121 | 363 |