Least Common Multiple (LCM) of 44 and 106
The least common multiple (LCM) of 44 and 106 is 2332.
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 44 and 106?
First, calculate the GCD of 44 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 106 = 0 remainder 44 |
| 2 | 106 ÷ 44 = 2 remainder 18 |
| 3 | 44 ÷ 18 = 2 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 169 | 15210 |
| 134 and 89 | 11926 |
| 148 and 199 | 29452 |
| 46 and 74 | 1702 |
| 17 and 85 | 85 |