Least Common Multiple (LCM) of 81 and 124
The least common multiple (LCM) of 81 and 124 is 10044.
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 124?
First, calculate the GCD of 81 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 124 = 0 remainder 81 |
| 2 | 124 ÷ 81 = 1 remainder 43 |
| 3 | 81 ÷ 43 = 1 remainder 38 |
| 4 | 43 ÷ 38 = 1 remainder 5 |
| 5 | 38 ÷ 5 = 7 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 108 | 7236 |
| 29 and 92 | 2668 |
| 27 and 158 | 4266 |
| 45 and 129 | 1935 |
| 65 and 171 | 11115 |