Least Common Multiple (LCM) of 110 and 66
The least common multiple (LCM) of 110 and 66 is 330.
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 110 and 66?
First, calculate the GCD of 110 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 66 = 1 remainder 44 |
| 2 | 66 ÷ 44 = 1 remainder 22 |
| 3 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 138 | 15042 |
| 176 and 72 | 1584 |
| 35 and 27 | 945 |
| 69 and 68 | 4692 |
| 43 and 166 | 7138 |