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 |
|---|---|
| 33 and 111 | 1221 |
| 148 and 159 | 23532 |
| 46 and 152 | 3496 |
| 138 and 174 | 4002 |
| 156 and 115 | 17940 |