Least Common Multiple (LCM) of 11 and 44
The least common multiple (LCM) of 11 and 44 is 44.
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 11 and 44?
First, calculate the GCD of 11 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 44 = 0 remainder 11 |
| 2 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 66 | 1122 |
| 32 and 36 | 288 |
| 109 and 41 | 4469 |
| 154 and 40 | 3080 |
| 154 and 104 | 8008 |