Least Common Multiple (LCM) of 81 and 101
The least common multiple (LCM) of 81 and 101 is 8181.
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 101?
First, calculate the GCD of 81 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 101 = 0 remainder 81 |
| 2 | 101 ÷ 81 = 1 remainder 20 |
| 3 | 81 ÷ 20 = 4 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 124 | 15500 |
| 144 and 161 | 23184 |
| 18 and 43 | 774 |
| 128 and 34 | 2176 |
| 110 and 74 | 4070 |