Least Common Multiple (LCM) of 81 and 94
The least common multiple (LCM) of 81 and 94 is 7614.
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 94?
First, calculate the GCD of 81 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 94 = 0 remainder 81 |
| 2 | 94 ÷ 81 = 1 remainder 13 |
| 3 | 81 ÷ 13 = 6 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 30 | 1290 |
| 51 and 84 | 1428 |
| 112 and 57 | 6384 |
| 64 and 87 | 5568 |
| 119 and 118 | 14042 |