Least Common Multiple (LCM) of 106 and 89
The least common multiple (LCM) of 106 and 89 is 9434.
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 89?
First, calculate the GCD of 106 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 89 = 1 remainder 17 |
| 2 | 89 ÷ 17 = 5 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 142 | 11360 |
| 112 and 154 | 1232 |
| 33 and 180 | 1980 |
| 17 and 169 | 2873 |
| 91 and 182 | 182 |