Least Common Multiple (LCM) of 11 and 66
The least common multiple (LCM) of 11 and 66 is 66.
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 66?
First, calculate the GCD of 11 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 66 = 0 remainder 11 |
| 2 | 66 ÷ 11 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 154 | 3696 |
| 129 and 65 | 8385 |
| 178 and 176 | 15664 |
| 110 and 177 | 19470 |
| 167 and 79 | 13193 |