Least Common Multiple (LCM) of 106 and 80
The least common multiple (LCM) of 106 and 80 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 106 and 80?
First, calculate the GCD of 106 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 80 = 1 remainder 26 |
| 2 | 80 ÷ 26 = 3 remainder 2 |
| 3 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 68 | 8228 |
| 167 and 35 | 5845 |
| 142 and 31 | 4402 |
| 178 and 80 | 7120 |
| 186 and 98 | 9114 |