Least Common Multiple (LCM) of 11 and 32
The least common multiple (LCM) of 11 and 32 is 352.
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 32?
First, calculate the GCD of 11 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 32 = 0 remainder 11 |
| 2 | 32 ÷ 11 = 2 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 38 | 1482 |
| 100 and 110 | 1100 |
| 170 and 177 | 30090 |
| 145 and 39 | 5655 |
| 186 and 134 | 12462 |