Least Common Multiple (LCM) of 80 and 106
The least common multiple (LCM) of 80 and 106 is 4240.
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 80 and 106?
First, calculate the GCD of 80 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 106 = 0 remainder 80 |
| 2 | 106 ÷ 80 = 1 remainder 26 |
| 3 | 80 ÷ 26 = 3 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 66 | 6402 |
| 142 and 111 | 15762 |
| 97 and 59 | 5723 |
| 58 and 144 | 4176 |
| 81 and 154 | 12474 |